The GOP has been shifting left for 150 years. It's still around. Unfortunately, we can't let our electorate outrun us, or we will lose on everything of importance to us instead of only some of them. Sodomy was once a felony, and during the colonial era, a capital offense. It is now not only legal, but fashionable, with all kinds of slang terms involving the practice once thought extremely coarse now used in day-to-day conversation. I'm as old-fashioned as they get, but we will never turn the clock back.
You want to start turning the tide in the “culture war”? Break up the media monopolies.
One company owning 2 TV stations, radio stations, and a newspaper all in one city gives them undue sway. And that company does the same thing in multiple cities and probably produces movies as well. Everything you see, read, and hear is controlled by a few companies. They set the meme. They are the Pied Piper.