I thought about this a little more. I guess a progressive wouldn’t be a champion of private property per se, but they might not be too crazy about tearing down and rebuilding the institutions that undergird private property. The legal justice system is a big institution and presents concrete answers to many contradictions created by private property. Socialism will have to remain a mixed system of some kind, containing different elements of private property relations in different places at different times. So yeah, a Marxist would look at institutional challenges to change, relationships to the status quo and to progress, in order to determine what actions to take, and when.

This is typically where one would start researching Lenin, for practical applications of Marxist theory.