I tried multiple times to try to refute all of the assumptions made in this post, but I gave up.
1) One does not have to be intelligent to be wealthy.
2) Those born wealthy do not have to be intelligent to remain wealthy - they just need not be a consumeristic imbecile.
3) Genetics has such a small impact, if any, on social mobility - quite the opposite. If I am born a Kennedy I am more likely to never fall below my birthright social class because of my family lineage.
4) You contradict yourself. You say the nobility rules by force, then immediately follow that with "If that society becomes free" - how exactly would that society magically free?