This is certainly the way many conservatives perceive it, ignoring the fact that Trump’s first political move upon Obama being elected was to question Obama’s birth legitimacy: a racist attack.
Here’s how others see it, including me: white conservatives were freaked out by the fact of Obama’s election, not by anything Obama did (Obama governed as a centrist.) They were freaked out because they fear that very shortly for the first time in American history, white people will no longer be a majority. This is the same fear that is the root of the transformation of the GOP to anti-immigration, isolationism, nativism, anti-trade, anti-globalism, etc. It was the fear of a black and brown majority that brought about Donald Trump.