Free marketeers just conjure evolution to serve themselves.

Sure. What are the alternatives? Letting the most power-hungry people fight against each other with the winner taking all? A competition who can get most followers by using clever memes that appeal to their cognitive biases? I hope you also see their drawbacks.

My conclusion: all these solutions are imperfect.

The only strong evidence for capitalism that I see is the general increases in wealth during capitalist periods compared to socialist periods.

Okay. How much evidence for other economical systems do you have?