The question isn't can it be saved? The question is, can it be stopped?
Maybe the best way of stopping it is to save it from itself.
I see little cracks opening, where the tiny seeds of the former GOP are starting to sprout and fracture the corrupt edifice of the Party of Trump. If Trump manages to get enough blatantly terrible candidates to win nominations, and then most of them lose... I think there would be a real sea-change. Of course that has yet to happen, but it could... at least on paper.
Here's the real problem: What they're doing now (being racist misogynist grifters that appeal to the worst parts of the electorate) is...
1. Easy
2. Working
Let's say that hogs become aerodynamic and the Cheney/Kinzinger/Romney axis regains control of the GOP and the Greene's Gaetz's , and Gosars are all sent packing. Would that help?
I would say no, because the "moderates" that are in the party now are the Tea Party of a decade ago. They're not moderate at all, and are just as corrupt but merely more circumspect about their schemes. The purge of actual moderates was wrapped up long before Trump was inspired to run by Obama ripping him onstage that one night. Reasonable conservatives who believe in government but just politely disagree with Democrats on how to run it are long gone. Policy ideas? They started being the "Party of No" in 2008 when the black guy took over, and haven't come up with anything other than "stir up the villagers" since. When was the last time a Republican actually had a policy proposal to improve the lives of Americans that made you think "okay, I guess we can work with them on that one?" The only concrete thing they have is tax cuts, but that's really just a giveaway to donors and another way to "starve the beast."
Policy is hard. Shouting at the border and scaremongering about white people being replaced is easy.
Plus between the gerrymandering and voter suppression, they're running dead even with the Democrats in the race for the House, they're probably going to take back the Senate, and if the alleged looming recession hits or they take both houses and obstruct everything, Biden will be a one term President...if he even wants a second term.
Would Trump defeat him? Maybe. Could someone like DeSantis? That would be even worse. In any case, the GOP isn't going to change because as of right now, being racist/misogynist grifters is a winning strategy.