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It requires economists who don't see it as beneath them to teach it at that level to schoolchildren.
How many people have you met who have an actual good understanding of economics who has that ambition? I think it'd be an incredibly important and respectable thing to do, but I just haven't met many people with that ambition.
Even speaking at a personal level, if I were to remove the math from my college level econ courses I would see it as giving in somehow, because the math is pretty tied to my identity and how I see myself. But society-wide what's really needed more is better non-mathy, accessible econ education.
This is a related problem: relatively few economists actually like or care about economics.
This is probably the area where I'd give Austrians the advantage.
Their deductive reasoning based approach starting with human action is probably more accessible and more memorable to the average person than the mainstream math & graphs approach.
Somehow, the natural sciences, including physics, manage to appeal to children and others with no knowledge in math. I believe econ could do so, too.