We definitely differ on what capitalism is. Wealth is not redistributed by the function of the capitalist fundamental class process - The method for wealth redistribution not abhorrent to a capitalist is philanthropy. That is way to paternal for me. I'd prefer to have some collective decision making involved and that means government involvement.
I think we need to teach that 'government' is us and we are our government. It is not some "thing" or entity we have the right or the luxury to treat otherwise. It is the expression of our collective decisions in our republic. That is what makes America great, and we have to own our bad decisions.
And yes I agree we need to invest in better education.
Natural law dictates that you are you and I am me...two separate entities.
In a free country, two separate entities can only become one - WE - by mutual agreement.
In a free country, either entity has the individual liberty to decline becoming part of the WE without repercussion.
In a constitutional republic of free men, government is specifically created to be separate from the people that consent to its existence.
Your "we are the government" beliefs are democratic at best...
...but the harsh obstacles to your belief are:
1. the Constitution is, and guarantees to every state of the union, a republican form of government and,
2. democratic government still affords the freedom for individuals not to participate if that is their choice
So, what you actually opine of is plain 'ol socialism...
...good luck.