They have, at least in some places. Where I live (Austin TX) I've been in multiple high schools that have extensive Manual machine shop/3d printing/CNC/Electronics/etc labs for students to use. It might even be at the point where the nicest/most complete machine shops in town are actually in the suburban high schools. Go to the local FIRST https://www.firstinspires.org/ competition and talk to the kids from the high schools in the more expensive parts of town where their parents are getting tens of thousands of dollars in donations every year for the teams. Whether any random kid can use them is a different story, but they do 'work' if by success having both of your school's FIRST team leads go to MIT is any indication, as happened last year at the HS my kid graduated from.

So at least some of our students are being given the opportunity, and there are multiple paths to success, but maybe the largest difference is that while truly talented multi disciplinary young engineers (and I work with a few) are rare, they always have been. The real questions are probably around social issues, does giving your kid a phone remove the boredom that encourages them to tinker with stuff in the garage, is there a sweet spot of being able to afford an old car, but to poor to pay to fix it, force kids to learn hands on repair skills. Does being able to stop at radio shack/surplus/frys/metal supply/etc and browse racks of stuff on the way home from school encourage kids to build stuff to impress their friends, or is having it delivered in the mail enough. AKA, like me the other day, I stopped a microcenter to get a pedestrian computer peripheral I could have ordered from amazon, but discovered a ESP camera module that gave me 'ideas'.

I'm afraid we have far more basic problems than that - illiteracy in their fingers. We have people who can't use a knife or scissors, let alone a power tool.

3D printing is an excellent introduction to just making an actual object in the real world. It's cheap and accessible, and has obvious design limitations to fall into and learn from. The step from 3D printing to full CNC is a lot less than the step from nothing to 3D printing.

MythBusters-types of people can only exist in a country with garages and residential suburbs.

I think what most changed music and mechanics was the transition from suburbia to flatsharing in the city centers.

3D is heavily used in China as well for small scale manufacturing and prototyping. It is a good place to start for middle or high school kids, and is pretty accessible and rather safe

Not just that - the idea is to give students a taste of what it's like to make things with their hands. 3D printing is cool too, but it's much less hands-on.