Part of this discussion seems to center around the discussion of how much private property is too little or too much and how much the government controls.
If I own my house, the crops in my garden, and the cars, but I don’t own the land, then all of that private property is in jeopardy. We see this with goverment seizure of private property: the owners rarely get a good return on their property, especially if it had sentimental value as having been the family home for generations, but now it’s in the way of the new freeway.
Although the payment may be the same, my mortgage is not rent; there are different laws governing that relationship, and people feel very different about property the own vs. property they rent. Yes, I pay taxes on my land, but that is not the same as rent, either. The government may exercise Emminent Domain rights, but they are supposed to have to prove an overriding need to kick my off my land (at least before the Supreme Court decision about shopping malls being proper exercise of Emminent Domain because they increase the tax base).
Besides, people usually don’t understand “renting” just the land. A local trailer park closed because the owners decided they were going to sell the land to build condos. The residents of the trailer park protested, called the TV stations and the paper, claimed it was somehow discrimination, cried that the city should stop the landowner, etc. “But that trailer was my inheritance from my parents!” cried one resident. Yes, she still had property rights to the trailer… but it wasn’t going to do her any good, because she didn’t own the land it was sitting on, and she couldn’t move the trailer.
Although the Soviets allowed people to own their cars, clothes, etc., the state owned the land, everything grown on it, and every resource under it. Control didn’t depend on owning everything… just the land and the right to use it.