Progressive Ilhan Omar wins Minnesota's House primary.
Her centrist challenger questioned her support for the "defund the police" movement.
Michels defeated Rebecca Kleefisch, who was backed by Mike Pence.
Kleefisch worked for right-wing ex-governor Scott Walker and conceded Tuesday.
Michels falsely claimed that Trump, not Democratic US president Joe Biden, won the 2020 swing state.
In November, he'll face incumbent Democrat Tony Evers.
Levy faces the high-profile incumbent Democratic senator Richard Blumenthal.