I can feel the love you have for your girlfriend but also your confusion.
Welcome to the forum. This is a friendly ,caring and supportive community.
Relationships are difficult at times but you seem determined to make the relationship work and I am sure your girlfriend is as well.
It may be hard when you move to a different state and find like your girlfriend does, that you really don't want to be there.
You have listed some of your differences and I know you both love each other.
I am wondering what are the values, beliefs and characteristics that you love about each other.
People who are different have relationships.
How would you like your relationship to change?
Would both of you consider relationships counselling?
I think it is great that you are willing to try everything to help the relationship.
Thanks for sharing your story.