It's infeasible for a lot of reasons.
The €1500 cost would be meaningless in the US for most people. The median parents purchase a vehicle for their children directly or otherwise assist them in acquiring one, at far greater cost. That level of license cost wouldn't have any impact for the average person.
Where those variations would have a huge impact, is for poor people, overwhelmingly black and hispanic in the US. Any attempt to implement that licensing approach would be called out as being racist or otherwise discriminatory. I'm not exaggerating or making light of it, I'm being dead serious. That's exactly what would occur. I'll leave it to others to debate whether it would in fact be racist, I'm sure some (most?) of that opinion is determined by one's position in society and how each person feels discriminated against or not.
The US has a substantial bifurcation between the top ~60% and the bottom ~40%, roughly speaking. The top 60% is overwhelmingly white + asian. The gap between access to quality driving instruction / education, the ability to pay licensing costs of €1500, etc. would separate along that division (ie white/asian and black/hispanic). It would impact poorer people in a significant way, and barely impact non poor people.
If the US were to adopt a stricter approach, to convince everyone that it was fair, it'd be necessary to put meaningful resources into providing greater driving education opportunities to poorer people, and probably adjusting the licensing cost based on household income (if your family makes $30,000 the fee is $250; if your family makes $90,000 the fee is $1500 or whatever).