Well, in theory the people starving are not under proper capitalism. Usually they're under some corrupt government that doesn't let small businesses thrive. You can't open businesses in those poor countries like you can in the US. Think about all the immigrants that are fighting to come to the US, and many of them end up having their own small business (many of which unfortunately had to close during last year, but that's a different matter).
I don't disagree about the rampant inequality at the global scale, but the solution is not clear and definitely not simple, especially when factoring different nations, different peoples and cultures and styles of living. Ultimately capitalism is solving some problems, and I'm not sure that the problems it is not solving, are the ones it is creating. In other words, maybe these problems exist despite capitalism, and we need systems on top of it, not a replacement.