Liberal has an overloaded definiton. OP may have used liberal as an American Conservative might. I prefer using the term to describe the philosophy.

The term "right" is associated with Liberalism. Property rights is a Liberal idea and has included the right to own a human as a slave or to vote in an election for representation. The "marketplace of ideas" and "invisible hand of the free-market" are liberal ideas. The ideas have been assimilated by various political factions to suit their vision.

I would argue you have autonomy to tell me my ideas suck. I have Anarchist ideas like consensus, mutual aid and autonomy. I have the autonomy to choose goals I work toward. The product of my labor is mine. Humans are strongest when working together toward common goals. Working together requires respecting the autonomy of all. All power to all people.

Voting Republican or Democrat grows harder as both support a hierarchy where a Palestinian baby does not have the same right to life as an Israeli baby. With first-past-the-post voting, refusing to vote Democrat means being a Trump supporter. If it is troubling that the reality of the voting system does not capture the consent of the governed, maybe Liberalism isn't for you. The system is working as intended.