TBF this isnt strictly speaking true - they do care (deeply) about the country, it’s just they don’t consider “the Libs” / “the left” / the coastal elites or however as being part of that country. They are the other, the traitorous elements etc. and this is something that politicians, ministers and so on have stoked for decades.
It’s a more up to date version of the same belief that many in the South held / hold, who managed to be both genuinely God-fearing Christian people as well as owning slaves (and later maltreating African-Americans) for the simple reason that they didn’t recognise them as people (or at its most benign now “part of our community”)