I enjoy Hawkman's personality because I find it to be very multi-faceted and interesting.
He has an inherent nobility in him that colors his heroism and desire to do good but also an innate savage aspect of himself that clashes with that on a constant basis.
He can be charming, short-tempered, honorable, vicious, regal, a beast, caring, and standoffish all in equal measure, and the same can be said for Hawkgirl.
I also find how his long-life colors his perspective on the world and humanity to be really interesting.
I've never really been exposed to him as a "Short-Tempered Republican" and I think his "Creepy Stalker" trait was really only an issue in one arc of JSA (and was dealt with shortly after).
I don't remember that.
If it's from the issues I'm thinking of, he was acting that way because of a lot of personal issues going on in the Hawkman book that had nothing to do with Kendra. He was treating the entire JSA like that around then.
I never got the sense that Carter felt "entitled" to anything. I remember him being depressed at the thought that he couldn't be reunited with Shiera like he'd hoped, but he still respected Kendra even if he had difficulty adjusting to the reincarnation cycle being different this time around.
I think if anything Kendra proves that free will can enter into it to some degree because she fell in love with him on her own terms and not immediately.*I honestly find the Hawkman mythos as a whole disturbing. Especially as demonstrated with Kendra, the idea of being destined to hook up with someone without any free will in the matter is horrifying and just in general the idea of free will not mattering and something being destined to happen is a story element I almost always hate.