If May is bullish then April will have been the start of the run, May will just be a continuation of it. I think there will be some attempts by some to reverse the current upward trend and test 6k again but ultimately they'll be in vain. May is traditionally a strong month, June and July are the ones to worry about.
I strongly agree with you, in May the market will stabilize again, many people have re-booked or will add their portpolio in early May, because in a few weeks the market is moving in a pretty good trend