Answer:
No, it shouldn't. In the present case, it is a conflict of interest between two states: the states of New York and New Jersey, with respect to Ellis Island and the inter-jurisdictional waters of the Hudson River. Therefore, due to being a controversial matter between two states, the provisions of Article III Section 2 of the United States Constitution, which establishes the original jurisdiction of the Supreme Court in the case. In addition, in case of recourse to the internal courts of a state, a state would be brought to litigate outside its original jurisdiction.
