New York’s supreme court ruled that two of the three main bodies of Chabad have the right to expel Congregation Lubavitch – the messianist faction- from the synagogue in the bottom of 770. Apparently this struggle has been going on for about 15 years (actually, this makes me feel much better – I hadn’t known that there was much of anything going on opposed to the crazier factions of the movement, which, from all accounts now make up, at least half of Chabad) but the suit stems from when some member/s of the messianist group defaced a plaque that referred to the late Rabbi Menachem Mendel Schneerson as “of blessed memory” because that’s not what Congregation Lubavitch believed was the current state of said rebbe.
From JTA

New York State’s Supreme Court ruled Thursday in favor of Merkos L’Inyonei Chinuch and Agudas Chassidei Chabad, two of Chabad’s three main bodies, giving them the right to eject Congregation Lubavitch Inc. from the synagogue located in the basement of 770 and 784-788 Eastern Parkway, in the Crown Heights section of Brooklyn. The sites represent the worldwide headquarters of Chabad-Lubavitch.
In that first case, the court ruled in favor of Chabad’s leadership, declaring in June 2006 that Merkos and Agudas are the rightful owners of the entire property. The current suit was brought by Merkos and Agudas in order to give them the authority to physically remove the opposing congregation, and its four gabbais, or trustees, from the premises.