what
That sentence can kind of be read two ways:
1: I'm not tribal just because I'm conservative, but for other reasons too. (Tez admits to being a tribal)
2: Being a conservative doesn't make me tribal. (Tez denies being a tribal)
OP is reading it the first way, which is how it reads grammatically, and how I read it too.
But Tezuni could have jumbled his words and actually meant the second way.