Question to Advocates of Government Expansion in Healthcare

Advocates for more government expansion into healthcare often point out that industrialized countries with socialized medicine pay much less for healthcare than we in the USA do.  They claim that it is becuase it is socialized that it is cheaper.  But we in the USA have socialized schooling and we still spend a lot more on schooling that the other industrialized countries.  So wouldn't it be good to insist that any Government expansion into healthcare be funded with cuts in spending on schooling, at least until that expansion in healthcare lowers spending.