In Hawaii on Saturday, Kim Coco Iwamoto, a lawyer, lost her bid to be the Democrats' nominee for lieutenant governor. Bernie Sanders and labor activist Dolores Huerta. But he easily won the Democratic primary on Tuesday night, local time. Tammy Baldwin in November.
The state Republican party condemned Nehlen in February after his Twitter ban.
She also beat a Navy veteran and the executive director of a dance festival to clinch victory.
Nicholson accepted the election result and pledged to support Vukmir.
There were a number of other significant victories on Tuesday.
She later added, "I'm not sure I even know what socialism is".
Following the AP projection, the Republican Governors Association (RGA) released a statement on Hallquist's victory: "Vermont Democrats have selected a candidate committed to increasing the tax burden on working families", RGA Spokesman John Burke said, referring to Hallquist's plan to increase some property taxes.
"I'm proud to be a role model for others in. marginalised communities so they can rise up and be recognised", she said.
In another ground-breaking political moment, Somali-American state legislator Ilhan Omar claimed victory in her primary in Minnesota, putting her on track to become one of the first female Muslim members of the U.S. house of representatives.
"We started this campaign to prove people are ready and willing to fight for an America that works for all of us".
'Look to Vermont, ' she said.
Meanwhile an iron worker and union organiser who has become famous for the nickname "Ironstache" won the Democratic primary for a seat on the Wisconsin House of Representatives that is now held by Republican Speaker Paul Ryan.
The Cook Political Report ranks the seat "Lean Republican", anticipating the Republican in the seat will win by 5 points. "It is also a win for the taxpayers", he said.
"We are fighting for CT values, not Trump values".
Christine Hallquist made history on Tuesday night when she won Vermont's Democratic gubernatorial primary, becoming the first transgender gubernatorial nominee for a major political party. Backed by the Justice Democrats, the same group that helped launch Alexandria Ocasio-Cortez's campaign in NY, along with the Working Families Party and Trans United Fund, Hallquist supports "Medicare for all", raising the minimum wage to $15 an hour and has pledged to address racial disparities in the state's criminal justice system.
She spent 12 years at the Vermont Electric Cooperative before running for governor. Scott, who refused to endorse Trump, has passed gun control legislation and is pro-abortion rights and same-sex marriage.
And more transgender candidates will be on the ballot soon, including Alexandra Chandler, a former naval intelligence analyst who is running in Massachusetts' 3rd District. "Yet Vermont voters chose Christine not because of her gender identity, but because she is an open and authentic candidate with a long history of service to the state, and who speaks to the issues most important to voters".