I agree completely but I don't think "white" means for most White people something from what anyone would define as a racial concept. "Rural" pinpoints the notion a bit more, but it denotes attitude rather than geographic location. The "Us" in the Us vs. Them is not exclusively White, and on occasion, a Candace Owens or a Bobby Jindal may be granted membership in the Us community as long as they relinquish their ethnic heritage.

In the not necessarily conscious thinking of most Whites in this country, Jewish Americans are not members of the Us community. We see the Republican politicos targeting this particular bigotry in anti-Semitic dog whistles and references to George Soros.

Nor is (especially Protestant) Christianity a defining characteristic of Whiteness, although ostentations outward shows (like prayer at a high school football game, or Trump's brandishing a Bible) are signals of membership in the Us group. (In fact, Trump was one of the most secular of all presidents, unless you consider golf a religion).

I think the Trump faction we define as White is more easily defined by what they think they are not than by what they think they are.

They are not Black, Hispanic, Indigenous, atheist (Trump may be a profiteer or exploiter of Christianity, but he doesn't care enough about religion to be an atheist--atheists don't wave Bibles around), intellectual, urban, etc.

Trumpers may check "White" on questionnaires, but it's what they don't check that matters most to them.