I'm of the opinion that, if your solution requires perpetual majority control of legislative, executive, and judicial branches, your solution is in fact a campaign slogan.
I'm not saying that this is what is happening now, but I am saying that calls for universal health coverage, no matter how correct and well supported, are going to probably face the same obstacles they did last time, so we need new coalitions and implementation proposals if we're going to give it a go again. It has to be different enough that those who would oppose it right after the inevitable pendulum swing do not want to.