In the US, health care is largely just a shake down by various licensed monopolies engaged in government enabled and enforced rent seeking.

Yes, and? A market exists where a market exists. Any moral or ideological properties that might make a market "pure" or "impure" are just attributed to it by ideologues.

In a US that had been free for the last 20 years, google would be analyzing the data from my weekly, if not daily microfluidic samples, from real time continuous information provided by sensors throughout the day, from my dna, and doing the same for millions of other people. We'd share our data so that google could make better recommendations for achieving our health goals, and with the mass of data everyone shares, google would be able to make those predictions.

You seem to be confusing Google with a Friendly singleton. Of course, once you get into Singletons, it's easier to have a democratic government function as one, anyway.