Ivoss' suggestions could not be better. Take them. They will help.
I would just like to add that Katie's vet has gone from doing Katie's vet visits in the parking lot, to at the picnic table near the door, to in the lobby, to finally in a room, with no sedation and no muzzle!
It's been nearly 3 years of vet visits, and multiple cookie-visits to get to this. Our vet encouraged us to do cookie-drive-bys, and work up to cookie-visits. He also comes into the room, and just chats while Katie checks him out, every time. It is not uncommon for him to be in the room with us for 20 mins before he touches Katie. She sniffs him, and he totally ignores her while she gets acquainted. At our last vet trip, she took a treat from him for the first time, and he was overjoyed. I love a vet that can appreciate that.
It sounds like you may need to look for a vet like this. My family has been going to this vet since before I was born. (I will be 30 on July 28th). When you find a good vet, stick with him/her, they are a rare gem.
We did T-touch with Katie to help her learn to be handled. She isn't a show dog, so I don't know about a Judge's exam, but it helped us teach Katie to be handled for grooming and tick checks. We went to a seminar, and use the book "Getting in T-touch with your Dog". I think it helped a lot.
It is really hard to hear someone talking about putting your baby down after such a short first impression. If you are truly worried about Denver's potential to become a biter, look into setting up an appointment with a behaviorist. We could not have come as far as we have with Katie without our behaviorist's help. Check IAABC for a consultant in your area http://www.iaabc.org/.
There are no veterinary behavior specialists (ACVB Diplomates) in Ohio, but there are several vets who are members of the AVSAB at http://www.avsabonline.org, who can help with behavior at the vet, and will probably also understand how to approach a dog with issues a bit better than most.
Hope some of this helps.
-Nicole