I think that the summary of their opinions right now is that my mom is unsure but open to it while my dad is pretty stubbornly against it.
My dad is not against all trans people. He's had almost 4 years to come to terms with my intersex trans girlfriend (now fiancé). But he has some pretty transphobic views from the Christian and conservative media he consumed. I think he will probably come around eventually, but it's a painfully slow process, especially because a lot of it is just waiting for him to read and respond to my messages.
It's really weighing on my mind a lot these days. I really hope that it will turn out okay, and hopefully sooner than later. Although, at least my girlfriend's family has been very supportive, so I will have them either way.