Clinton is ahead with Democrats 50-42.
If she wins by such a comfortable margin in lily white Wisconsin then I doubt that she wins them in her home state by only 12.
There's a caveat: Closed primaries encourage independents to register as Democrats or Republicans, which would potentially make New York Democrats more favorable to Sanders than they otherwise would be.
Still, its pretty clear that closed primaries favor Clinton regardless, but its probably not as much as exit polling showing Clinton dominating with Democrats would suggest.
I answered that elsewhere: the 2008 exit poll shows that just 12% of New York Democratic primary voters declared that they were "independents".
Much fewer than the 30-35% who usually take part in open primaries.