The problem is not the existence of rich people. The problem is that some people are getting poorer. The two are not always linked.

In other words, inequality can be a sign of good (upward mobility, vibrant economy) as well as bad (poor people getting poorer).

Fixing the latter is important. "Fixing" the first is harmful.

Any solutions should focus on giving the average and the poor the ability to improve their situation. Reducing the number of rich should never be the goal.