Bob down the street having a mansion doesn't impinge on my rights in any way. In fact, it is great that Bob's mansion doesn't get taken away for my sake, because it means I have the opportunity to also get a mansion that won't be taken away from me :)
That is some of the thought behind my argument.
Quite the contrary, almost all wealth in modern society is dependent on utilizing the knowledge and labor of other people. Either you extract rent from owning property or you extract profits by owning capital.
Either way you are somehow getting other people to do work for you. As your wealth and success grows your bargaining position improves.
In a market economy, the price paid for a product is determined by the bargaining position of the seller and buyer. A sufficiently rich capitalist owner can squeeze down the wage of his workers and thus extract a large surplus of income.
With wealth comes power. You can use your wealth to buy or influence politicians to create laws that benefit your and which are detrimental to your workers or possible competition. You can use your wealth to propagate a dynasty. Pay for your children to get the best education. Send them to schools where the rich and the powerful create special links and bonds. An insider game where they make sure they stay on top.
It is native to assume the game cannot be rigged in favor of the rich. It can and it has been done so since the dawn of time.
It does not mean we should not have rich people. But let us not kid ourselves into thinking opposing and conflicting interests don't exist.