But, would a solid Kennedy supporter identify as a Democrat or Republican today?
If you think about it, liberals will eventually become conservative, at least based on the basic definition of the terms. Liberals typically want change or push for change quickly while conservatives resist change or prefer change to happen slowly. So, once a liberal sees or realizes the change they hope for become a reality, they stop pushing for further change and begin to prefer the (new) status quo.
Remember, it was the Republicans that freed the slaves. The Democrats were the ones supporting succession and the CSA. It was only after the Civil War that the Republicans dropped the racial equality fight and the Democrats picked up the banner.
The NRA used to be about gun education and safety as their primary message. Now they are focused first and foremost as gun rights and Second Amendment protection.
I used to devout Steve Shives Star Trek commentary, spurred on by the Ensigns Logs podcast cohosted by Jason Harding. In one of Shives' Trek YouTubes he came right out and said basically "if you are a conservative, stop listening to me." He made it clear he wanted absolutely no dialog with anyone who expressed conservative viewpoints. He was not interested in any opposing views.
In short, he expressed intolerance towards any views contrary to his.
Im sorry, but that's not Star Trek. If Trek has taught anything, it's the evil of painting everyone with the same brush. Not all liberals are Marxists and not all conservatives are Trump supporters. There are loud and proud homosexuals that vote Republican (or did prior to Trump).
Some people are socially liberal but fiscally conservative.
I used to watch the TV police procedural "Lincoln Heights". I one episode one of the main characters states "being black is not a monolithic experience". The same is true about being LGBTQ, Conservative, Liberal, or whatever.
How Do Social Conservative Star Fans Enjoy Star Trek? The same way social liberals do. They watch the show, draw from it what appeals to them, and tolerate what doesn't.
Not every conservative is a homophobic mysoginistic bigot.