Back when I still had hopes for the US I thought a lot about how to include math in a high level general ed curriculum for college.
I think the best way to go about is to start early and not cut off the math requirement in high school at geometry or trig, but keep going so that everybody has to be introduced to calulus/analysis in some general way. Maybe branching with different tracts would have to be used so that people interested in non-technical fields are still exposed to some higher math but without the heavy emphasis on calculation, manipulation, and honing skills for preparation for further math studies, physics, chemistry, engineering etc.
I don't know how to do it, but the point is to get math back into liberal arts as a humanities requirement more or less independent from its applications and uses in technical fields. OTOH, understanding how math is used in technical field is part of the point. Math has obviously made deep and vast contributions to human knowledge and most of that is completely missing in most people's education. You can sort of accomplish this by following a history track, but then you come up to the explosion in late 19thC early 20thC---precisely the point where math became fundamental to the construction and shape of modern society and its tremendous dependence on technological development.
There's nice map here:
http://www.mathhttp://www.math.niu.edu/~rusin/known-math/index/tour_div.html