I'd say this is starting to happen now, the American center right is going to have to totally redefine itself once Trump leaves office. His rise is a symptom of the massive chasm between right-wing politicians and beltway wonks and what their base actually want.
The New Right cares more about cultural war issues than tax cuts for the donors. There are some homosexual authors who have proposed dropping the gay label as too inherently left-wing and bound up in '60s activism in favor of the term Androphilia, or love of masculinity (
I'm not gay I'm an androphile, from BBC News).
The American left is locked out of substantial political power right now, but it's difficult to claim that it's revolutionary or countercultural in a gramscian sense. It's hard to spin intersectional theory as forbidden knowledge or some kind of revolutionary force when it's taught in most colleges. Tech and social media companies like Google, Facebook, and Twitter are all massive donors to the democratic party, and progressives set the boundaries of what's culturally permissible.
Anti-Trump liberals like to LARP as anti-nazi resistance fighters or compare themselves to Harry Potter characters taking down Voldemort, but they're not really sticking it to the man when they can turn on any late-night comedian and hear the same anti-Trump party line.
It's easy to build up media pressure to get someone to step down or get fired over a homophobic tweet from five years ago in a way than to fire or deplatform someone for disagreeing with a conservative take on some issue. Establishment conservative media like the National Review are cultural court jesters who get a little sandbox of an overton window to scurry around in as long as they don't say anything too socially conservative
The post-Trump right could probably turn into a more communitarian and somewhat anti-market force to regrow into a popular movement. We're starting to see this already with Tucker Carlson's rants about Jeff Bezos that would be unimaginable on Fox News a couple years ago.
Republicans can shift towards a kind of ecumenical or secular conservatism that stands for intact families and making it financially feasible to get married and have kids. The childfree, unmarried millennials are going to make for really lonely seniors. It's easy to talk about "focusing on my career" and "not being ready for marriage yet", but people derive more happiness over their lifespan from having a happy family and friends they enjoy than the money in their bank account from focusing on their career or hedonistic consumerism.
It's not a winning issue to talk about gays and trans people anymore, but bashing divorce, social atomization, and a lack of neihgborhood and religious ties could work. Everyone wants to live in a functional community and the financial barriers to family life (student debt and pricey housing leading to later marriage or not getting married all) are becoming major problems. Trump has driven non-white voters away in droves, but this kind of approach could attract black, hispanic, and Asian voters back to the party.