"The full faith and credit of the USA... values the dollar"
Completely false. The value of the US dollar comes directly from oil which it was pegged to in the 1970's after we left the gold standard. Also, technically the Federal Reserve, which is not a government institution which is owned and controlled by the World Bank, is the source of the dollar. I have no idea what the property rights comment is in regards to, it seems randomly thrown in or carried over from another thread which I'm unaware of.
I don't think it's a good thing to completely remove government from markets entirely, the thing that needs to be watched out for is corporate control over legislation, which isn't capitalism at all, it's more along the lines of what's commonly referred to as corporatism which is really just Marxism. A mixed market with controls/legislation to protect individuals from harm is really all that's needed. The problem is human beings are involved.
I don't think you even know what a market based solution is because if you did you wouldn't have used it to refer to the ACA and Cap and Trade which are essentially the complete opposite of a market based solution.