The NEW YORK Islanders were never going to be the Brooklyn Islanders. The trademark is in the hands of two guys who live outside Trenton, NJ, and don't seem to have any connection to Barclays Center or the Nets. Sounds like an investment, just in case.
If Brett Yormark had planned a name change, he or associated entities would have snapped up "Brooklyn Islanders" two years ago when the Isles announced they were moving to Brooklyn. That's what Bruce Ratner did in 2003 when he bought the Nets. He registered the "Brooklyn Nets" and "New York Nets" even before the ink was dry on the ownership transfer.