[3] Luna was initially prevented from serving as Idaho superintendent of public instruction because he lacked a college degree.
[8] He was later appointed to be President of The International Society of Weights and Measurement (ISWM) and as a voting member of National Type Evaluation Program (NTEP).
[10] Columnist William McGurn stated that he found Luna's business experience and lack of education degree, "refreshing".
[21] Part of his statement read, "At this time, I want to continue to focus on my passion for education versus serving in Congress.
[28] Luna ran for chairman of the Idaho Republican Party in the summer of 2019 to fill the vacancy left by the February 2019 resignation of Jonathan Parker.
[29] In 2020, Luna was again a candidate for chairman of the Idaho Republican Party after Raul Labrador announced that he would not seek re-election and would instead return to his law career.
Luna defeated Mark Fuller, the chair of the Bonneville County Republican Central Committee in a 274–262 vote in June 2020.