I always do the doors and use my manners, etc. I also do that in front of my kids, and honestly I've always done that just naturally. It sets a good example for all. I also get my wife food when we are at events, etc, esp when the kids are with us and now moreso that we have an infant with us.
But back to the main issue here, if she makes more than you, and you are just dating, and she expects you to pay for absolutely everything no questions asked - then there is cause for concern (hence this thread), and I'd be suspect of how she would want a husband to act/be down the line. Think : chained to house, never doing anything on your own, never seeing friends, never having a nice car/toys, etc. Just food for thought.
Guys like me, Grambles, and Bowers all have women that even if they don't fully appreciate the car stuff, they support us and what makes us happy as well.