House Republican leaders seeking to lock down votes from New York lawmakers have proposed shifting $2.3 billion in Medicaid costs from the state's counties to the state. The amendment was a response to complaints that New York unfairly burdens its counties with a share of the nearly $60 billion health care program for the poor and disabled. In New York, the federal government covers 51 percent of Medicaid costs, the state pays 36 percent, while New York City and counties pay 13 percent. Faso, who developed the language, said the amendment excludes New York City's $5 billion in Medicaid expense because the Democratic stronghold relies on local income taxes instead of property taxes to support the program. "The amendment would make an even bigger hole in the state budget, specifically in the area that serves low-income kids and families, and disabled people and low-income seniors," said Kathy Breslin, president and CEO of the Albany-based Schuyler Center for Analysis. Lt.