I had my wisdom teeth out last year with just a local... it was a memorable experience
The dentist gave me about 8 shots, then proceeded with a dremel type tool, to chop up the impacted tooth and yank it bit by bit. The other three came out quite easily with just a bit of tugging. You might mention your concerns to your dentist and see if he can just do a local as well. Just stand your ground, and there shouldn't be any problem. Expect to look like a chipmunk for a day or two, and pick up some Ensure to have for your first few meals.