My politics and opinions on social issues are definitely in the park with your bosses, but you know what? I'd be on eggshells too.
I don't, for instance, think impact is more important than intent (interesting phrase); I tend to work the other way, but also, if impact IS more important, then their actions towards you fail that standard. Their impact on you is to make you feel insulted, belittled, and tricked.
If you want to stay there, you could point that out. One of the good things of being there might be exposure to some of these ideas. A lot of these ideas (about "girlfriend", "lady") are ideas that had their heyday 25 years ago or so, but not really something being bandied around in popular culture these days. There's no reason why you would have encountered the idea before.
What I'm saying is, they're just plain rude, and they don't have people smarts. It isn't excusable. But I have to remind the world: they act this way because they're jerks, not because they hold radical or feminist ideas.
The revolution can be cheerful!