The same issue can be a civil rights issue if it's engaged with seriously by people who actually care about those it affects and a culture war issue if it's engaged with unseriously by hatred-blinded idiots who just want to own the libs or own the deplorables.
But "civil rights" is just
term du jour for idiot libs who want to own the deplorables to couch their arguments in sanctimonious appeals to some normative quality.
Both of these phrases are absolutely meaningless. It has nothing to do with how "serious" those using them are.