(If you take the class-war rhetoric seriously, that is. Which I know most of you don't. Not really.)
I think painting this as a "capitalists vs the left" thing is reductive and unhelpful. Personally, speaking as someone who Americans would probably consider extreme-left, I very much agree with your second paragraph, but I don't see this as "capitalism vs the left", I see it as the elite rich abusing their position to the detriment of everyone else. A story as old as time.
No, the goal was to keep it tilted in capital's favor. Which group wields greater decision-making power? Which type of income is more lightly taxed? Capital vehicles (corporations) have almost all of the rights and practically none of the responsibilities - or vulnerabilities such as mortality or geographic limitation - of human laborers. Yes, the playing field needs to be leveled ... the other way.