The words "conservative", "liberal", "right", "left", etc., are practically meaningless, and I'm old enough to have seen them change over the decades, sometimes radically. They're nothing but trendy labels.
Liberal vs conservative
Secular vs religious
Governance vs identity politics
The list goes on and on. In an odd historical analogy, the electric charges were originally assigned "negative" and "positive" according to what happened when they were combined, with no hypothesis as to the underlying cause.