If it's classical liberalism you seek (a focus on individual rights rather than group rights), you are still far better off in the CPC than you are in the progressivist Liberal Party. Social conservatives will at least allow you to air your views whereas illiberal progressives (the kind that dominate modern Liberal parties in Canada) will shout you down.

This is worth a listen in the background some day when doing housework of some sort : https://www.youtube.com/watch?v=zH0mPfR-K2U