Yeah, it’s definitely possible to be a socially conservative libertarian — I know because I’m one too. I used to be a card carrying member of the Libertarian party but quickly realized they were politically hopeless, so I switched over to the Republicans who certainly have their problems and their impurities but who at least are lined up where the ball is against the Democrats, the true enemies of liberty.
Hopefully it was the party platform that drove you from the libertarians.