The two sides of the political spectrum are not "liberal" and "conservative" but "liberal" and "libertarian". It's pretty simple once you think about it.
You have the Constitution as it was written. There are only two ways to go from the Constitution:
1) If you support giving government MORE power than it Constitutionally is delegated, you are a LIBERAL.
2) If you support giving government LESS power than it Constitutionally is delegated, you are a LIBERTARIAN.
Conservatism is, BY DEFINITION, a belief in the status quo of the Constitution. Whether a specific candidate who CLAIMS to be conservative actually IS, is the subject for another time.
The EXTREMES on those two directions are that LIBERALS turn into TOTALITARIANS and LIBERTARIANS turn into ANARCHISTS. Here's a small chart that explains it: [LINK]
BTW, these stances are possibly regardless of support of a specific claim. For instance, if abortion was literally a Constitutional Right, then the Conservative position would be a Pro-Choice one.