“Mostly correctly” is 100% false. Count the number of years under GOP presidents since 1980 vs the number under Democrats. SCOTUS has been dominated by Republican judges — and the chief justice has been a Republican — since the 1970’s.
The old-guard republicans were neo-cons. They championed things like free trade and projecting soft power through international institutions that are antithetical to the modern right.
The fact that the US only has “two parties” obscures the fact that there are wings in those parties that don’t really govern in a meaningful way.
The nationalist/populist conservative wing (MAGA née Tea Party) hasn’t really been in power pre Trump.
You'd be hard pressed to find a conservative college dean, non-profit CEO, or even a librarian. There's a belief (which I think is mostly true), that most government agencies are left-leaning in practice if not in appointed leadership. Add to that the growing (perceived!) left-leaning policies in the military and major industrial players, and you might see what they mean.
I'd be hard pressed to find a lefty college board of directors, or CEO.
I'd believe govt agency staffers, since conservatives by and large want to destroy those agencies and not work there.
The military is a weird place and contains multitudes
Well, I guess I'd roll it back to say there have been high profile, widly circulated perceived-to-be-far-left policies pushed or adopted by traditionally not-that-liberal organizations. Like "DEI" in military. It's all over conservative zeitgeist and looks like a massive power creep to them.