ALBANY — The chaos-plagued State Senate faced fresh tumult on Wednesday as four Democrats announced they would split from their party’s leadership and start their own, independent caucus. The move does not change the balance of power in the Senate, which the Republicans captured in November and now hold with a razor-thin, two-seat majority, 32 to 30... --snip-- The departure of the four senators, announced a few hours before Gov. Andrew M. Cuomo delivered his State of the State address, brought into the open the simmering anger among some Senate Democrats, especially from outside New York City, who have borne...