There is a lot of foreign investment in the US, though I don't expect that that figure is growing just now.
When you say "total US money supply" ... how does money which doesn't get spent (or invested) in the US help with liquidity there?
(Not assuming that you are a supporter of QE btw)
The second thing is that inflation is not a 1 to 1 function of money supply over the short to medium term. Nor are inflation expectations.
I'm not even going to ask about that. Not up for equations just now.