Democratic presidential front-runner Hillary Clinton Hillary Diane Rodham ClintonWhat Senate Republicans have said about election-year Supreme Court vacancies Bipartisan praise pours in after Ginsburg's death Trump carries on with rally, unaware of Ginsburg's death MORE said in an interview broadcast Sunday that Republican criticism of presumptive GOP presidential nominee Donald Trump Donald John TrumpObama calls on Senate not to fill Ginsburg's vacancy until after election Planned Parenthood: 'The fate of our rights' depends on Ginsburg replacement Progressive group to spend M in ad campaign on Supreme Court vacancy MORE is not “personal” but “rooted in” critics’ “respect for the office.”

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“I have to say the Republicans themselves are raising questions about their presumptive nominee. And I think that's in large measure ... because they do understand how hard the job of being president is,” Clinton told CBS’s “Face the Nation.” “When you have former presidents, when you have high-ranking Republican officials in Congress raising questions about their nominee, I don't think it's personal so much as rooted in their respect for the office and their deep concern about what kind of leader he would be.”

Speaker Paul Ryan Paul Davis RyanKenosha will be a good bellwether in 2020 At indoor rally, Pence says election runs through Wisconsin Juan Williams: Breaking down the debates MORE (R-Wis.) last Thursday said he is “just not ready” to support Trump, who became the presumptive nominee with a win in Indiana’s primary, knocking rivals Ted Cruz Rafael (Ted) Edward CruzSenate Republicans face tough decision on replacing Ginsburg Cruz: Trump should nominate a Supreme Court justice next week Renewed focus on Trump's Supreme Court list after Ginsburg's death MORE and John Kasich out of the race.

Other high-profile Republicans have vowed never to back the real estate mogul.

“At the end of the day ... I really believe that Americans take their vote for president seriously, because they know it's not only the president but the commander in chief who they are selecting,” Clinton added on CBS. “And I have a lot of confidence in the common sense of the American ... voter. And I'm going to continue to talk specifically about what I will do, draw contrasts with my opponents, and particularly with Donald Trump.”

Clinton said she is reaching out to Democrats, Republicans and independents “who want a candidate who is running a campaign based on issues.”

“I think that for a lot of people, again, who take their vote seriously and who really see this as a crossroads kind of election ... I am asking people to come join this campaign, and I've had a lot of outreach on Republicans in the last days who ... say that ... they are interested in talking about that.”