Libertarians and conservatives are alike in their devotion to liberty. But the resemblance ends there.
Libertarianism is a “thin” ideology that has no special place for human relationships other than the benefits (mainly economic) that derive from voluntary transactions.
Conservatism is a “thick” ideology — or, rather, a disposition — that sees human relationships and the benefits derived from them (love, devotion, honor, trust, respect, mutually beneficial endeavors) as an indivisible whole.
Conservatives believe that liberty exists where there is a modus vivendi — mutual trust, respect, and forbearance — that fosters (among other things) voluntary, cooperative arrangements that are mutually beneficial.
Libertarians see liberty as an abstraction, devoid of human bonds. Conservatives see human bonds as the source of liberty and the good that it yields. (Conservatives, in most cases, do this instinctively because they value human bonds and experience the good that flows from them.)
Libertarians claim that their version of liberty doesn’t preclude the conservative version of liberty. But it does, because it allows — nay, encourages — the destruction of liberty’s foundation: true community.
Libertarians believe that liberty can exist even while social bonds are sundered in the name of economic efficiency (“globalsim”), cultural diversity (“wokeness”), and personal freedom (abortion, gender fluidity, polyamory), which destroy the sense of community upon which liberty depends. Libertarians, in other words, give intellectual cover to the left’s destructive agenda.
Conservatives know that when social bonds are sundered, the norms upon which liberty depends are frayed and destroyed. The creation and enforcement of norms then becomes the province of a government that exists for its own sake and for the sake of particular interest groups, not for the general welfare. Thus the “warre of every man against his neighbor”.
When it comes to the left-right divide, libertarians are on the left, their protestations the contrary notwithstanding.