I suppose it depends on what definitions you're using of words like "government", "leftist view", "their property", and "anarchist"; clearly at least one of them differs from the mainstream definitions. I suspect it's "anarchist", since anarchism (as normally understood) opposes coercive hierarchy more broadly than just the usual definition of "government", including things sometimes described as "property", but I can't know for sure; you might be using a nonstandard definition of "government" instead, for example.
As I said before, though, you might benefit from reading at the introductory section of https://en.wikipedia.org/wiki/Anarchism.