Difficult to say as she contradicts herself constantly. I recall she made a major speech bashing multiculturalism a few years back saying it had totally failed, yet in 2014 pushed through a migration policy that saw over a million people enter Germany in the space of 12 months. She claims Islam is a 'part of Germany' yet also used to call for burqas to be banned claiming they 'weren't acceptable in our country'. She's also allegedly anti-gay marriage, though that might just be a stance she took to shore up her base at a time when some in her party were trying to oust her.
Personally I think she doesn't really believe in much but will say whatever is politically pragmatic at the time. I mean, she's very comfortable working in coalition with everyone from the FDP to the SPD to the German Greens. Her main political philosophy is that Angela Merkel should be Chancellor of Germany, and everything else comes second to that.