Unlike many countries, US citizens can't escape US income tax by moving out of the country, income tax must be paid regardless of the geographic source of income.
It's less trivial but people can and do renounce their US citizenship. It can be expensive, but probably not 2%-6% of you net worth in perpetuity expensive. Now, you will have to find a new flag of convenience, but you can do that from probably somewhere b/t 500K and 1.5 million in a desirable locale.
All the examples above are things that happened to people of my family / close friend in the past few years, and the (French) embassy/consulate helped a lot each times.