“I should be happy that Republicans seem to be on the way to blowing both of these races,” Mr. Boyle said. But, he added, “I am very nervous that, lo and behold, two Republican extremists would be elected governor and senator.”

For her part, Ms. Barnette, appearing this week on the podcast of Stephen Bannon, the former Trump adviser, dismissed Republican concerns that she was “too MAGA” to win in November.

“Do these people have a crystal ball?” she asked. “Are they Jesus incarnate? How do they know?”