In 2010, Alexander was an unsuccessful Republican candidate for the United States Senate. The Republican nomination and the election went to U.S. Representative John Boozman. In 2012, Alexander was elected in state House District 88, when the incumbent Democrat, Uvalde Lindsey, was instead elected to the Arkansas State Senate. Alexander defeated the Democrat Edwin Sugg of Fayetteville, 5,589 to 3,042. Alexander served on these House committees: Aging, Children, and Youth, Legislative and Military Affairs, Performance Review, and Revenue & Taxation. In 2013, Alexander co-sponsored a spending cap on the state budget, but the measure failed by two votes on the House floor. He voted to override the vetoes of Democratic Governor Mike Beebe to enact legislation to require photo identification for casting a ballot in Arkansas and to ban abortion after twenty weeks of gestation. He also supported legislation to forbid the inclusion of abortion in the state insurance exchange and to make the death of a fetus a felony in certain cases. He did not vote on a House-approved provision to ban abortion at the point at which fetal heartbeat is detected. Alexander co-sponsored legislation to allow officials of universities and religious institutionscarry concealed weapons on campuses and in places of worship, respectively. He voted to reduce the fees for obtaining a concealed-carry permit. He voted to prohibit the governor from regulating firearms during an emergency. He voted against legislation to make the office of prosecuting attorney in Arkansas nonpartisan, but the measure passed, sixty-three to twenty-four. He sponsored the bill, signed by Governor Beebe, to permit the sale of up to five hundred gallons per month of unpasteurizedwhole milk directly from the farm to consumers. He sponsored failed legislation to prohibit the closure of public schools after a two-year period of declining enrollment. In the 2014 Republican gubernatorial primary, Alexander endorsed the businessman Curtis Coleman, who was handily defeated by the 2006 nominee, former U.S. Representative Asa Hutchinson of Arkansas's 3rd congressional district. Hutchinson then lost the general election to current Governor Mike Beebe. Alexander and Coleman had both run in the 2010 primary for the Senate against John Boozman. Alexander, with 817 votes, was unseated in the 2014 Republican primary by Lance Eads of Springdale, who polled 1,137 votes.