April 23 (Reuters) - New York state’s pension fund on Friday threw its support behind an activist fund’s slate of nominees to Exxon Mobil Corp’s board, heating up a proxy fight for the company’s future. The Exxon board “needs an overhaul,” to better manage climate risks and guide the company to a low carbon future, said N.Y. State Comptroller Thomas DiNapoli. Engine No. 1’s four director nominees “bring transformative industry experience,” he said. (Reporting by Gary McWilliams)