The U.S. doesn't need a new constitution. If you don't like the current president, you vote for a new one in 4 years. That's how it works.
There's nothing wrong with writing a new constitution. France is at its 5th iteration, and some candidates propose a 6th republic, nothing dictates that you're supposed to get it right on the first try.
France has been toppled by internal revolutions and external enemies multiple times in the time that the U.S. has existed. It's not an example to aspire to.
And give France a bit more credit; they were instrumental in the US’s own internal revolution against the British.