Too many things. I have conservative intuitions and liberal principles so I'm fucked when it comes to taking policy positions.
Take guns, for example. The reasonable (and Canadian) side of me thinks that a secure society without guns is superior to a secure one with them, and that if guns were to catch on here it would start a feedback loop until everyone was more armed then they even wanted to be, and also more uncomfortable.
On the other hand when I think about my gf in our house alone at night.. just a pistol would make me feel monumentally more relaxed about her safety. That feeling is only going to skyrocket when we have kids. I also feel the pull of the rhetoric of "rights" around having the ability to kill another who mortality threatens you, or to scare them off when they significantly trespass on your property.
I actually feel pretty straightforward about abortion, but I started wishy-washy on that one too.
Other examples are "sophisticated" feminism and religion. On the one hand I think that both tend to be full of empty, rationalist verbiage that seems comforting when exchanged between in-group members but doesn't actually have any useful import into the given natural or political world. That said, I'm open to the experiences of others being significantly different from my own, and I like the idea of alternative, even transcendent narratives that deviate from that of the state or capitalist economic system, and feel the triumph of using intellectual language and jargon to undermine those powers. I also cringe when the simplest forms of each get criticized in ways that don't give the more advanced forms due respect.
Another - scientific cosmogony. Can we write a myth of humanity based in science that preserves the inherent value of human beings and provides us with a satisfying idea of ourselves in a terrifyingly empty cosmos? I'm not sure what role scientific truths have to play in that.