By Sharon Bernstein SACRAMENTO, Calif. (Reuters) -In New York, lawmakers have introduced a bill to expand funding for abortion care. California legislators will soon vote on measures aimed at increasing the number of abortion providers. And Connecticut just enacted a law aimed at protecting providers from lawsuits in states where abortion is banned. With a new urgency, Democratic lawmakers are moving to protect abortion access in their states after a leaked draft last week showed the U.S. Supreme Court poised to overturn the 1973 Roe v. Wade decision that legalized abortion nationwide. “There …