I don't think so.
I find I have more in common with an atheist who stands in awe of nature than a dogmatic literalist who loves the city.
I agree. I think an atheist and a theist who can both experience the awe are like two people listening to the same music, they just have different opinions about where it's coming from. Whereas the dogmatic literalist is more like someone reading the sheet music with their fingers in their ears.
Yet the dogmatic atheist who shouts SCIENCE at me and has no appreciation of poetry seems as alien as the fundamentalist.
Again agree. I think both are trying to experience reality second-hand, ie., with their heads.
Is dogmatic or not a more important distinction than theist or not?
Probably.