Vox is most certainly a liberal outpost. You're correct that many elements of the left reject liberalism, which is why Vox et al. are center-left liberal rags and not "leftist."
Leftist ideology is not mutually inclusive of liberalism (in the philosophical sense) but that's true of most ideologies. Heck, mix nationalism (extreme patriotism) with socialism (illiberal leftist ideology) and you can get national socialism (far-right Nazism).
