In March 2018, Dush introduced resolutions, co-sponsored by 12 other Republicans state legislators, to impeach four Pennsylvania Supreme Court justices in response to the court's decision in League of Women Voters v. Commonwealth that struck down a Republican-drawn Pennsylvania congressional district map as a partisan gerrymander that violated the state constitution's requirement of "free and equal" elections.

[7][8] Dush made this proposal after the U.S. Supreme Court rejected a request from Republican legislative leaders in Pennsylvania to block the redrawn congressional map.

[15] In September 2021, Dush chaired a Republican-led committee that approved subpoenas for a wide range of data and personal information on voters.

[17] Dush was appointed to chair of the Senate State Government Committee in 2023 by President pro tempore Kim Ward.

[20] Dush opposed proposals by Democratic Lieutenant Governor John Fetterman to legalize the adult use of marijuana in Pennsylvania.

[30] The United States Department of Justice warned the audit participants that they may have broken the law in compromising the integrity of those Maricopa County, Arizona ballots.