Lars, I'd like to revisit your quoted points above:
1) Unless one is a complete idiot, or gets into drugs, etc, the rich typically do not become poor over time. 
2) I don't know about the government intervention part, but in general, someone born into poverty has far more hurdles to overcome than someone born into wealth. That you seem to think the opportunities for each are equivalent is puzzling. 
3) it's not non-existent, but it is nowhere near what it once was in this country. And this is largely because the elite class has rigged the system to be a self protective plutocracy. 
4) I never said that and this is a absurd point that has no place in this discussion.  

Let's talk about #2. Do you really think a guy who had his education paid for by his parents to Wharton business school and then given $1M has the same potential and opportunity as someone born into modest means who after overcoming social strife graduates school to a $20/hr job while holding $200K in student loan debt?