Most people have no problem with private property, but it is in a way more of an imposition on the public than copyright. If you own a plot of land on Manhattan, you didn't create that land. It was there before you existed. You didn't fight to take that land from the natives. Your ancestors did that. You can tell people who want to live on your land to find their own, but there is only so much of it to go around.
None of these justifications for regulating private property are applicable to creative works. If I write a program, I created it. It didn't exist before. At the same time, if I tell someone else to go write their own program instead of using mine, there is an infinite variety of programs that exist that they could write and call their own. They don't have to move out to Long Island, so to speak, to stake out their own little plot.