A lot of them already do dont they.
Business folk already are committing legal tax avoidance. So are famous actors, and many who earn millions of pounds a year.
Problem is this:
Do you want a rich person to use public resources without paying into the system equally relative to you? Or do you not want them to be able to do this?
The solution to the problem you mentioned is not a limit on earnings, but a progressive tax system.
I agree that wealthy have a disproportionate benefit from living in the society that provides them an opportunity to earn their wealth, so progressive taxation makes sense. An arbitrary and hard cap on earnings, however, makes no sense and encourages the wealthiest people to abandon ship.