aggressive when hiding under furniture....

I would think any type of food/treats would lure him out. He only likes those things when he's not hiding. Its hard to believe, but he can resist any and every food when he's under the furniture.

spngbob

I tried the line last week. I'm able to get him out, but he does put up a fight. I thought maybe it would help re-establish that I'm the alpha dog. It seems as if he gets that I'm the alpha dog and listens to me very well. But when it's time for the crate, he thinks he's the alpha dog under that furniture.

If you think "leadership" instead of "domination" or "alpha", you'll be far more successful with this dog.  If you have previouslyy dragged him out to stuff him in a crate, it will take time for him to trust you, and you won't have that happen by forcing him.  You say he resists treats.  I'm thinking that he is resisting, not because he is devious or stubborn, but because he doesn't want to get grabbed, stuffed in the crate and left alone - he sees the thing as a big negative, so you need to shape a new attitude about the crate.  When you re-introduce the crate, try this hands off method:

http://www.clickersolutions.com/articles/2001/crate.htm

I thought maybe it would help re-establish that I'm the alpha dog. It seems as if he gets that I'm the alpha dog and listens to me very well. But when it's time for the crate, he thinks he's the alpha dog under that furniture.

alpha dog? what nonsense. sounds to me like he's absolutely terrified of being stuffed in the crate and is doing anything and everything to avoid it including biting in self-defense. Stop stuffing him in the crate. You can't drag him out and force him into the crate during the re-training period- during the re-training period the crate must 100% of the time be a good experience, and being physically forced into it and left alone simply isn't. I understand he chews, and you need to find some other way to confine him while you work on the crate problem. An x-pen or baby gates to confine him in a safe place.

You should also play a game about getting him out from under furniture at times when you aren't planning to confine him- call him out, reward, send him back under, call him out, reward. If he chooses to not come out, that's his choice and put the treat away and ignore him.

 My dog is very, very sensitive (neurotic, really) and can be very easily frightened. He also will bite if forcibly removed from somewhere he's "hiding" - to him, everything seems very "life or death" in a way. He's not biting to be mean, he's biting because he feels like if he doesn't take a stand NOW, it will be the END of him. You know what I mean? Imagine a friend of yours is literally trying to drag you onto, say, a rollercoaster, or something else that you're extremely frightened of and/or upset by. Imagine the panic and fear you would be feeling, and how all logical, rational thought might kind of go out the window. Maybe you would scream. Maybe you would cry. Whatever. Point is, you wouldn't be thinking straight, right?

So imagine your dog is in the same frame of mind when he's hiding under the furniture. To you it's no big deal, after all you're just asking him to [go in the crate, have a bath, hold still to be brushed, whatever], right? But to him, it's a total moment of desperation.

 With that in mind, I've found the best approach (with my particular dog, at least) is to just defuse the sitaution. Don't make it a conflict anymore. If he goes to hide under the furniture, don't try to drag him out, or even continue to "bribe" him. (Sometimes just your body language of approaching his hiding place and reaching towards him, even if it's with food in your hand, can be enough to frighten a dog further and escalate the situation. Even though that's totally not what you meant to do!) So just relax. Sit down on the ground, don't face the dog, just sit quietly for a second, and then (while still not facing or looking at the dog) call him to you. My little guy responds best to me patting the ground beside me. Then just wait, and relax. Avoid making it a conflict situation. When your dog finally does come out, praise him gently (don't be too loud or enthusiastic, because again you might scare him accidentally), maybe offer him a light scratch or a treat depending on what he likes, and then just walk away. What you want to aim for is for him "coming out of hiding" to be a non-issue.

In other words, you don't want to reinforce the "hiding" by making him feel like he has something to hide from, you know what I mean?

I've found typically in these situations it isn't so much about being "alpha" or having "discipline" or anything like that. What it usually boils down to is the dog being frightened (for whatever reason, often through no conscious fault of the human) and the human not recognizing or knowing how to dissipate that fear.

For my little guy (who's a real handful - I totally empathize), I find that thinking of him as a very small human child helps give me the patience and understanding I need to work with him successfully. I think of myself more as a "parent" to him than even a "leader" or "alpha," and it helps me be much more gentle and empathetic when he's having an "issue" (even though I often feel like screaming and scruffing him by the neck in frustration instead! but that of course would be totally wrong on many levels, so I have to work hard to keep my patience!).

Hope me sharing my experiences was at least a little bit helpful :)

Just another thought about this situation...since he is so terrified or determined not to go in THAT crate.  Maybe you could try a completely different crate.  I mean completely different in size, construction material and location.  Don't try to lure him in the new crate.  Start putting his food in there.  Every meal.  Don't close the door.  This may take weeks or maybe even months to get him comfortable with the new set up.  In the meantime, confine him in a room where he can't destroy stuff by chewing (kitchen or bathroom).  Dogs are very place oriented and obviously he has made a firm committment to not go in the present crate without a fight.  Make the new crate very neutral and you don't really care if he goes in there but hey, look, that's where your food is now.  And that's where your really good treats get thrown into and that's where your favorite toy is hiding.  Once he is going in the new crate comfortably with the door always open you can start shutting the door for very short time periods and I mean short.  Watch his body langauge and if he gets nervous after two seconds, wait for him to get comfy again with the door always open and try shutting for one second.  Take it slow and don't try to force him into the crate no matter what or you will set yourself back to worse than before.  Trying to dominate in a situation like this will backfire, IMO.  You sound like you are willing to do what it takes to help this dog and sometimes that just means trying different things. I always wish I could get a dog like this to just read the many good books written on the subject but darn if they don't end up eating the book!