Your state is part of Super Tuesday, while we in Texas do not have our primary until March. No doubt many of these supporters are normally leftist Democrats who are drawn to Paul because he is antiwar and states rights oriented, which would be a good deal for a socially liberal state like New York. However, the Democratic side is beginning to look like more of a horse race, rather than a coronation. As a result, many of these potential Paul voters may decide to return to their political roots and vote for Obama or Edwards.
People here need to be registered party members, so unless you decided to reenroll in a different party a year in advance simply to meddle in its nominating process this shouldn't really be an issue.