In order to see the price of bitcoin, gold and all commodities goes up, we need the dollar's price (or value) to go down. In other words : inflation. With QE infinity, the world is heading towards inflation !. So good news for US 
There is certainly a correlation (and sometimes a strong one) between the strength of the dollar and the price of commodities and other currencies, but it's not a perfect correlation. If the dollar weakens, that could help the price of bitcoin rise, but not necessarily. Ultimately, the price of bitcoin in USD is simply determined by how much USD people are willing to pay for it. The price of bitcoin in USD will only rise as a result of USD weakness if people believe that bitcoin will hold its value better than USD.
And btw, the US is still on course to continue tapering its bond purchases, so QE infinity is (theoretically) coming to an end. The Fed is also expected to start raising interest rates within another year or so (of course that prediction keeps getting moved back), which will remove the last of the stimulus.