The Wyoming Freedom Caucus had ambitions for a total takeover of elected state government. But its candidates were rejected from the governor’s mansion to the Legislature.

© Will Warasila for The New York Times

Tom Begich, a former Democratic legislator and singer-songwriter, will be one of four candidates on the ranked-choice ballot for governor in November.

© Ruth Fremson/The New York Times

Jonathan Kreiss-Tomkins, a former state legislator from Sitka, Alaska, will be one of four candidates on the ranked-choice voting ballot in November.

© Ruth Fremson/The New York Times

State Representative Angie Nixon, a progressive firebrand, marshaled grass-roots enthusiasm to defeat a moderate who dramatically out-raised her. Can it carry her to victory in November?

© Saul Martinez for The New York Times