Sorry to hear that sweetie.
At least your mom is still talking to you. I'm sure it's not easy. My in-laws pretty much cut me off. My wife and I are staying together, but they want nothing to do with me. They've been trying to talk my wife out of staying ever since. They've even made up things to try and make me look bad. It's not easy.
As for the easily influenced thing... well, I feel that a lot of parents say things like that when their kids say something they either 1. aren't educated on or 2. don't agree with. Not just LGBT issues, but anything.
Maybe you should see if you can find some pamphlets or something on transgender and mail them to your parents, so they can understand the pain you are going through, and that it is REAL. It's worth a shot. I sent my in-laws a letter to explain what I was going through. Apparently that made things worse, but that's just because they're as stubborn as they come and just don't want to have to deal with reality.
Anyway, I hope things get better. Feel free to PM me. I'm on every day.