What’s your definition of the two?
Classical Liberalism, or as it is called in the US Libertarianism, is a utopian belief that people are by and large capable of living as rugged individuals. Since most people can’t or won’t live self-sufficiently something ends up being done to protect these people from themselves and minimize the chance they will rise up in food riots. That something is most often a socialist or welfare state government. And the worst kind of socialist government because the people have imbibed what they liked about libertarianism (do your own thing and look after yourself) so the intermediate institutions that provide some protection from the state such as families and fraternal organizations have withered or died away
That we could have somehow stopped at some reasonable compromise between monarchy and mobocracy was always a fantasy. We were always doomed to be eventually outvoted by the illiterate mob.
Conservatism has the advantage over libertarianism in that it tries hard to preserve the intermediate institutions so there is some protection from the state. However, the individualistic streak in America has allowed the "free market" to gut out cities, towns, and rural areas. Individuals don't join fraternal orgs, are secretly okay with social security and the like in that it provides a layer of independence between them and their family, and can stand by as jobs and livelihoods are decimated so long as theirs is not affected or their digital currency or NFT is on the rise.