Just to give you perspective of how much money is out there.
Gold market - 7trillion USD
Global stock market - 70trillion USD
Global money supply (broad money) - 90trillion USD
Global real estate - 220trillion USD
Offshore tax haven accounts - 30trillion USD
Derivatives market - freaking huge!!!!!
There is enough money out there to push Bitcoin to crazy highs!
That's the last thing I'm worried about. It's just a question of time.
So BTC current marketcap is already 1.6% of that of gold's (few years back this would be considered a wet dream) and 0.16% of total broad money (if your numbers are correct). I'd say that's already a lot.
It's crazy to assume, that just because there's a lot of money in the world, all the money will flow into Bitcoin for no particular reason.