With the modern science growing every year, if anything we should expand our school program, not contract. For example, teaching basics of abstract algebra, quaternions, octonions, and sedenions, statistics, maybe basic category theory. Quantum field theory in physics, etc.
Do you have a textbook in mind to teach high schoolers QFT? I'm dubious one could write such a textbook, but I'd love to be proven wrong.
I ask since I have taken a course on QFT lite. We had to spend three weeks just doing tensors, and this was after everyone was comfortable with linear algebra and calculus and so forth.