Policy is very regularly unrelated to ideology. I consider myself conservative in ideology, but very rarely agree with the policies of US conservatives, and relatively often agree with policies of US liberals, but I almost never agree on the principal arguments liberals might put forth to justify the policy. For example, I advocate for freedom of immigration and emigration as a matter of freedom of trade. I advocate for a solid (but not lavish) welfare state as a matter of fiscal policy (It's a lot cheaper than prisons). I advocate for a single payer health care system because it reduces regulatory capture and rent seeking.

Politics, however, has far more to do with identity than ideology or policy. Finding common ground on contentious issues does not raise money or secure votes. Demonizing and opposing those that don't look, live, or act like you does.