For better or worse, Carrie has never really come clean about where she stands politically. Back in 2012, Us Weekly reported that she was registered Republican at the time, but the star has never publicly spoken about that affiliation or any key stances that might align with it.
Quite the opposite, actually, as in 2008, Carrie appeared to bash celebrities who interject their political views into their careers.
"There is someone I do support, but I don’t support publicly. I lose all respect for celebrities when they back a candidate," she told TV Guide (per the Daily News) at the time, clearly indicative of her will to not project her political values on fans.
Beyond that, it seems that the only other indicator of any potential political affiliations may be when she performed at 2011's "All Together Now - A Celebration of Service" show, which, per Taste of Country, honored former Republican president George H. W. Bush and his commitment to volunteerism.