The primary difference between being socially liberal and socially conservative is the idea of the government’s role in our lives (and more generally, collectivism vs. individualism). The socially liberal concepts of universal health care, social security, welfare, public schools and universities, environmental regulations and others all require funding in the form of taxation and then spending in form of government programs.
This type of taxation and the growth of government spending goes against the basic principles of fiscal conservatism.
Until robot-powered post-scarcity and UI changes the fundamental structure of society and government, social liberalism and fiscal conservatism is a paradox.