There also seems to be a bit of weirdness even surrounding what "conservative" means. It used to mean an intent toward preservation of certain existing institutions/trends and preexisting stability, with a distrust for new institutions that may upset existing social calm. Which often is at odds with beneficial change but isn't inherently against it, favoring instead that it be slow and precise. When I think of myself as conservative that's the concept I have.

The problem is that "conservative" now can also include a group of people for which preserving an existing state (as in condition/mode of being ) is no longer acceptable, the demand either a reverse or entirely new directions.

As an example that's a little less hot button - vouchers for private schools. That's an active novelty and a change from an existing institution, rife with potential long-term impacts on both culture and stability that could be negative, and yet some positions push for it (often without addressing those problems). That's not a conservative position. That's a progressive one (maybe not in the direction someone on the left would want obviously).

Conservative got irrevocably linked with Right due to some preexisting social constructs and the urge to preserve them, but realistically it should hold just as well that a conservative would seek to preserve left-wing establishments as much as right-wing ones, or at least advise any changes to them be slow and incremental to avoid pop-up problems. Admittedly things like technology complicate that due to the speed with which it changes and demands response.