He supported abortion rights and voted against a ban of late-term abortions which did not include an exception for physical health, only for life-threatening conditions, in 1995 and 1996. However he opposed federal funding for abortions and supported the Hyde Amendment. He was also the co-sponsor of a bill regulating immigration. Simpson voted in favor of the bill establishing Martin Luther King Jr. Day as a federal holiday and initially voted in favor of the Civil Rights Restoration Act of 1987 (but voted to sustain President Reagan's veto). Simpson voted in favor of the nominations of Robert Bork and Clarence Thomas to the U.S. Supreme Court. After Congress In 1995, he lost the whip's job to Trent Lott of Mississippi, and he did not seek reelection to the Senate in 1996. From 1997 to 2000, Simpson taught at the Joan Shorenstein Center on the Press, Politics, and Public Policy at Harvard University's John F. Kennedy School of Government in Cambridge, Massachusetts, and he served for two years as the Director of the Institute of Politics at the Kennedy School. Simpson then returned to his home of Cody and practices law there with his two lawyer sons (William and Colin) in the firm of Simpson, Kepler and Edwards. The three are also partners in the firm of Burg Simpson Eldredge Hersh & Jardine of Englewood, Colorado. Colin M. Simpson, the third generation of his family in Wyoming politics, was a Republican member of the Wyoming House of Representatives who served as Speaker of the House for the 59th session of the Legislature, 2008 to March 2010. He was a candidate for governor in the primary in 2010, finishing fourth. Simpson teaches periodically at his alma mater, the University of Wyoming at Laramie, with his brother Pete. He has completed serving as chairman of the UW capital "Campaign for Distinction," which raised $204 million. That success was celebrated by the gala event, "An Extraordinary Evening", featuring former President George H. W. Bush (who had reportedly considered Simpson for the vice presidency in 1988) and Vice President Dick Cheney, another UW alumnus, and his wife Lynne Cheney. In 2001, Simpson became Honorary Chairman of the Republican Unity Coalition (RUC), a gay/straight alliance within the Republican Party. In that capacity, Simpson recruited former President Gerald Ford to serve on the RUC advisory board. In 2002, Simpson was involved in the Wyoming Republican gubernatorial primary