The Texas Senate gave final passage on Friday to one of the strictest anti-abortion measures in the country, legislation championed by Gov. Rick Perry, who rallied the Republican-controlled Legislature late last month after a Democratic filibuster blocked the bill and intensified already passionate resistance by abortion-rights supporters. The bill would ban abortions after 20 weeks of pregnancy and hold abortion clinics to the same standards as hospital-style surgical centers, among other requirements. Its supporters say that the strengthened requirements for the structures and doctors will protect women’s health; opponents argue that the restrictions are actually intended to put financial pressure...