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It is hard to understand why William Barr would take this position at age 68. Barr is certainly qualified for the job based on education and experience; however, his political views appear to be "Trumplike" and that's why Trump has selected him.
To add to Arizona's list above, from Wikipedia:
As Deputy Attorney General, Barr successfully pushed for the withdrawal of a proposed Department of Health and Human Services rule that would have allowed people with HIV/AIDS into the United States.
He also advocated the use of GITMO to prevent Haitian refugees and HIV infected peoples from claiming asylum in the United States.
Barr took hardline positions on immigration as Attorney General in the Bush Administration.
In 1991, Barr stated that he believed the framers of the Constitution did not originally intend to create a right to abortion; that Roe v. Wade was thus wrongly decided; and that abortion should be a "legitimate issue for state legislators."
In a 1995 scholarly article for the The Catholic Lawyer, Barr states that American government is "predicated precisely" on the Judeo-Christian system.
Barr grapples with the challenge of representing Catholicism "in an increasingly militant, secular age." Amongst other things Barr states the need to "restructure education and take advantage of existing tax deductions for charitable institutions to promote Catholic education."
Barr donated $55,000 to Jeb Bush during the 2016 United States presidential election.
Barr believed that then-Republican candidate Donald J. Trump's calls for investigating Hillary Clinton, the Democratic candidate for President, were appropriate.
Further on Arizona's list, in the same Times piece, Barr added that an investigation into the Uranium One controversy was more warranted than looking into whether Trump conspired with Russia: "To the extent it is not pursuing these matters, the department is abdicating its responsibility."
In February 2017, Barr argued Trump was justified in firing Acting Attorney General Sally Yates over her refusal to defend Executive Order 13769.