As a snapper owner (see sig) I can confirm that the snapper in the picture is a common. When they are young like that one, the carapace is a bit more raised like an alligator snapper, but they are still unmistakable. If anything, the beak, and definitely the neck give it away.
In regards to the alligator breeder. I believe the breeder your are talking about is the turtleman, his website is the name with a .com at the end. Make sure you are familiar with your state laws when it comes to owning alligator snappers. I am in the same state as the turtleman, and I send a couple emails to him a while back. For Missouri, we have to have a federal permit that costs $50 per year to own the alligators.
Please, harass me enough so I can remember to post some pictures of my two year old snapper.
Also, Nobody is joking when they mention taking care of them. He is my only turtle (had a RES as a kid, but he's my only one now). at two, he is in a 180 wide tank, and eventually will have to have 300-400 gallons. Right now I'm having one heck of a time getting his filtration working properly, and I have two rena xp3's running. Looks like I'll have to save up for some eheims.