As even your own little link spells out, the HMO was not created or mandated by that bill, it was only "encouraged" by that bill, most likely because and HMO suits corporate interests (i.e. controlling costs and increasing profits) rather than patient interests.
So while you may be right that public education resembles the HMO, it's only further evidence that your expert central planners may not really care about you having access to the best teachers (or doctors) Or maybe it's just that they don't have any idea what they're doing.
Health and Education as delivered to you by trial lawyers.
Oh look, more strawman whacking!