Again, this definition of "markets = good" does not define an ideology. If the problem is money in politics, that free speech equals money spent, etc. then that's quite a different problem than using market forces to solve problems.
Because what you're describing isn't using market forces to solve problems, it's wealth consolidation - the very opposite of using market forces to solve problems. Corruption by it's very nature isn't using market forces, it's using preferential positions and power to ensure success. It's in fact contrary to the idea of free markets (at least Adam Smith would think so).
>As to what neoliberalism means in practice, take a look at the US as it is now, and do tell me that it's in a healthy place.
This is a tautology. "If the US is unhealthy, then neoliberalism must be bad." I can't see your chart because I don't subscribe to the atlantic. But I do agree, if this is the point, that the wealth consolidation is a big problem. I don't think, however, the definition of neoliberalism you're suggesting is coherent at all. Some policies that use market forces to solve problems are good, and some problems that use market forces to solve problems are bad. Of course not all markets are bad, so which ones are? In fact, the problem you're pointing to has nothing to do with markets - it's precisely the opposite. It's powerful, wealthy people using government to increase their wealth and power.
Like I said, that's a problem of tax policy (and to an extent, regulation and the lack thereof).