Observation 1: You are confusing the term liberal with libertarian.
In modern parlance, yes. Liberal is typical taken to mean "political left". In a better sense Liberal is expanded to mean increase in govern,ental control of fiscal matters (larger government inteference) and minmizing of governmental control of social matters (less laws about what is done at home) However: what we now call classic liberalism:
"Liberalism is an ideology, or current of political thought, which strives to maximize liberty."
has spawned American Liberalism:
American liberalism (also called modern liberalism) is a political current that claims descent from classical liberalism in terms of devotion to individual liberty, but rejects the laissez faire economics of classical liberalism in favor of institutions that promote social and economic equity.
Which has since been claimed exclusive property of the politcal Left.