If you don't pay then the ticket (increased, of course, by the Failure to Appear) will go to collections. Will the collection agency pursue it in the US? Who knows? They probably will report it as un unpaid debt to the credit bureaus though, since that's so easy to do. Even if they do, it won't affect your insurance rates, just your credit.
You won't be arrested in the US for it. It is quite possible though that if you return to Switzerland it'll show up at immigration when you try to enter. You will certainly be unable to rent a car.
(The US *does* have an extradition treaty with Switzerland, and has had since 1850, but extradition treaties don't cover traffic offenses and the like anyway)