I’m always caught of guard when the left-right scale is brought up in the context of American politics. Is so far skewed to the right that “the left” corresponds to “moderate-far right wing” in EU terms.
250 years ago, Europe was still ruled by kings.
Basically, contrast the American revolution to the French one.
Anyway, the American right has generally been for preserving liberal democracy, not a monarchy or a cultural identity. Trump is a bit of an exception to this pattern, and doesn't have full support from the Republican party in the aspects of his politics that mirror the European right's (building walls, America first, etc.). The fact that the American congress has problems passing significant legislation demonstrates this fact.