There is no correlation between Bitcoin and stocks. It was pure coincidence that Bitcoin came out of it's post-Gox bear market and stocks going up at the same time. Bitcoin and stocks will be INVERSELY correlated in the future, not directly correlated as you claim. Just like gold will also be going up while stock markets crash.
When equities plummet, gold generally takes a hit as well. Gold is all about inflation, and a study of the past 40 years shows that a gold boom front runs an equities boom. When gold hit it's highs in 1980, equities were already over their worst. As gold fell away sharply, equities picked up increasing pace. Really, there is only a small window in each 40 year cycle where holding gold really pays off beyond mere insurance against total collapse of the system.
As for Bitcoin and US equities, since summer 2015, the correlation is clear. Equities up = Bitcoin up. Equities down = Bitcoin down. There can be no denying that, small windows of divergence filling in the gaps, notwithstanding. There is of course no guarantee on whether this relation is set to continue as stocks correct. I certainly amn't prepared to bet on it, but I amn't prepared to bet against it either. Could be that $600, was/is the halving pump, and Bitcoin's next leg up will have to wait until post halving......when US equities start to recover from where ever their next dip takes them down to.