Nah. The Dems shifted from social liberal to true liberal, the GOP split into conservative and fascist factions.
Liberalism was originally the ideology of deregulated capitalism.
Conservative: aristocratic, old money.
Liberal: capitalist, new money.
Radical: socialist, no money.
There’s a bit of crossover: the Dems still have a few old-style conservatives like Manchin, while the GOP conservatives wholeheartedly adopted liberal economics. But most of the rightward shift of the Dems was just them abandoning the social liberalism of the Cold War and returning to their pre-20th century liberal roots.
Democrats have a tendency to frame the history of recent decades as the GOP shifting right and dragging the Democrats with them. I’d argue that it was more that the Democrats shifted right (from social liberal to liberal) and pushed the conservatives in front of them.
The fascist wing of the GOP has been running a purge of the conservatives for the last year, and should complete it at the midterms. Pretty much all of the anti-Trumpist conservatives will be retired or primaried.
There’s a parallel discussion on similar themes going on in this thread: