I would stay.
Consider how people in the US would look at your CV that said “Worked at famous Bavarian automaker for [period of time]”. You can always return to the states. I would absolutely wring everything I could out of my time in Europe, personally and professionally.
Moved my kids when I had one older child, a toddler and an infant. They all did well, and years later they’re all now living in three different places and not once have they complained. Quite the opposite.
I honestly don’t think these things actually bother kids half as much as they bother adults.
But the thought that the US will be better? This defies belief. Even were someone like Le Pen or Zemmour to ascend to the presidency, at least you have a coherent (if fractious) French left to stymie the worst of their nativist policies. America has no such thing - only corporate bagmen and racist flag-shaggers.