The USA had made a remarkable beginning with Linkoln, that still echoes till today even though not loud anymore, but only after the Russians saved them with their ships in 1863 😀.
I don't know if people in capitalism have equal opportunity even in theory, but even so, when we see big the differences to outcomes, that is not because people individually (i emphasize individually) work harder or having gaming change ideas or better skills and intelligence. These big differences come from theft, corruption etc or luck. Unless we believe that for example Elon Musk works so hard etc. No one complained because someone who worked harder has something more (i think). About the rest, similar things can be heared by a communist "social institution will provide healthcare, no one will be homeless" etc.
When we put all that to the test, other factors pollute the soup 😀.
Btw i think that because you are a nice person (i believe this), you try to project this to your ideas and capitalism. It is you that are good, not capitalism (or communism).