Currently, you can't do that because you're taxed to death,
The US has the lowest tax rate of all developed countries. So right there your argument is already wrong.
and the government has given monopoly control to a handful of healthcare giants.
I don't know where you get this from and it is really funny to see how hard you strive to pin a clear failure of the free market (healthcare is not a freely traded good) on your big government bugaboo.
Clearly you've reached a conclusion first (big government is always bad) and now you are forcing the facts into it.
I don't want big government but nor do I want small government. I want government of just the right size to provide (1) decent public education to all (equality of opportunity, not outcome), (2) decent public infrastructure, (3) enough defense that we can be secure in the world (but not so much that we can go in expeditions to Iraq which had nothing to do with 9/11 or weapons of mass destruction), (4) healthcare to all since a civilized country does not let sick or hungry people die and (5) enough police that I can go to the corner store without fear of being mugged.
If you look at the list above, government is too small for all of those except (3). Those are facts. The rest is ideology.