I assume it wont pass, as only 20 Senators have said they will vote for it and we need 32 for it to pass (because we don't have a Lieutenant Governor to break a tie).
Here is a summery of public statements made by our Senators.
Even if all seven of our on the fence Dems vote for it (and does Malcolm Smith have that kind of power? Especially when he gave into the gang of 5/4/3 in January over this same issue.) we would still need five GOP votes to do it.
Here is the good news. Ass holes like Bill Stakowski are getting nothing but bad press and will have a hell of a time getting reelected next year.
And it isn't like this issue hasn't come up before. The Assembly has passed this three years in a row now, I think. This is the first year the Dems have control in the Senate. What should be apparent is that the Democratic Party needs to get rid of people like Stakowski and the odious Ruben Diez. If we want marriage equality in this state, we need to get to work on election politics.