The biggest mistake is listening to that Navy Recruiter. It really doesn't matter what recruiter you talk with, they will all sugar coat everything.
What surprises me is that you had to be SOLD in order to decide on the Navy. You are relying on someone telling you what to do and not what you really wanted to do in the first place.
Go ahead and tell your AF recruiter you want to get out of the AF Dep. Then join the Navy.
I hope you like boats! Do you like sharing your bunk with 2 other people? It's pretty hard to drive your car when your stationed on a ship. Makes it pretty hard to go out on a date or see your spouse when your out on a ship.
I think you need to talk with your AF recruiter and let them know the reasons for making the change. You'll probably find out that anything the Navy can give you, you can get with the AF.
And for "Yo Its Me" - he has a good point - do your stint in the AF. If you absolutely hate it, get out after 4 and join the Navy.
They will take Prior Service, the Air Force won't. So if you go into the Navy, you will never be able to get into the AF.