[11] In 1992, he voted to extend the operational period of a nuclear waste landfill in Barnwell County.
Additionally, Alexander is the Vice-Chair of the College and University Trustee Screening Commission, a Joint Committee with members from both the House and Senate.
[26] In 2023, Alexander was a vocal supporter of bipartisan efforts to address the rise in youth vaping in the state.
[29][30] The bill, signed into law on May 18, 2022, bars transgender students from participating in sports teams that do not match their gender assigned at birth.
[31] On March 14, 2024, Alexander introduced a bill to ban gender-affirming care for minors alongside other Republican Senators.
[36] On March 28, 2024, a three-judge district court issued an order allowing for the map to remain in place for the 2024 United States Elections.
On May 23, 2024, the Supreme Court ruled in favor of the SC legislature, arguing that the NAACP failed to provide substantiated evidence demonstrating race-based motivations in the districts drawn.
[45][46][47] His time as President of the Senate has overseen the state's most restrictive abortion legislation, a six-week fetal heartbeat bill.
[54] In 2018, following derogatory comments and conspiracy theories posted by Lisa Manini Widener about survivors of the Marjory Stoneman Douglas High School shooting, South Carolina Democrats called for her dismissal as the research director for the state Senate Labor, Commerce, and Industry Committee.
[55] Despite receiving criticism from the public and pressure from Democratic leaders, Alexander, chairing the committee, chose not to terminate her employment.
[56] Subsequently, in 2023, the South Carolina Senate recognized Widener with a commendation for her extensive service to the state.
Reports have noted Alexander's presence at dinners and events sponsored by utility companies, including SCANA and Duke Power, raising concerns about the relationships between lawmakers and utility companies, particularly in light of the failed $9 billion V.C.
[59] While Alexander has defended his participation and the committee's actions, stating no issues were discussed at dinners[58] and expressing skepticism about the effectiveness of prohibiting donations,[59] these incidents have fueled ongoing debates about regulatory oversight and potential conflicts of interest.