Kari Lake opened her Senate run in Arizona showing every intention of shedding the trappings of the Trumpism that made her a star in conservative circles but cost her the governor’s race two years ago: unfounded claims of election fraud, ruthless attacks on fellow Republicans and obsequious tributes to former President Donald J. Trump.Ms. Lake, a former television anchor, has reached out to her critics. She has sought to appeal to the Republican establishment in ways that Mr. Trump has not, framing his Make America Great Again movement as a natural evolution of Reaganism, which attracted…