In his dissent for Seven-Sky v. Holder, Kavanaugh detailed how he views the role federal courts should play, one that includes no oversight over Congress's taxation powers.
On abortion, Kavanaugh voted in October to delay an abortion for a teenage immigrant who was in government custody.
Barrett, 46, is a former law clerk to the late Supreme Court Justice Antonin Scalia.
The Senate must confirm Trump's nominee, who will be backed campaign-style by the White House and conservative legal organizations. But his supporters have cited his experience and wide range of legal opinions.
Those who discussed the president's decision, and spoke on the condition of anonymity, did not disclose the name of the president's selection.
He says he will fight the nomination "with everything I have".
"Bob Casey's opposition to President Trump's nominee before he or she has even been named shows he has given up any pretense of being a moderate voice", said NRSC Spokesman Bob Salera. Dean Heller, R-Nev., and each of the three Republican candidates for the seat being vacated by Sen.
Blumenthal told Stephanopoulos on "This Week" that the public supports abortion rights.
Democrats who plan to oppose Trump's nominee are focusing on two Republican moderates, Susan Collins of ME and Lisa Murkowski of Alaska, hoping to turn them against Trump's selection. Getting a nominee through takes time. In a Quinnipiac University Poll released Monday, 63 percent of Americans agree with the decision in Roe v. Wade and just 31 percent disagree.
Stephanopoulos also asked Leo about an argument by some Democrats, including Blumenthal, that no new justice should be appointed until after special counsel Robert Mueller's investigation is finished because it would be improper for the president to nominate someone who may have jurisdiction over the probe. So it's in the president's interest to pick someone who can be confirmed quickly.
Barrett - a longtime Notre Dame Law School professor who became a federal appeals judge last fall - excited social conservatives with her testimony when questioned about her Roman Catholic faith in her nomination hearings past year.
The nominee will need at least 50 votes in the Senate, which Republicans now hold a slim advantage at 51 seats.
President Trump is reportedly considering four potential nominees. Kyl now works for Washington law and lobbying firm Covington and Burling, LLP. Brian Fallon, the group's executive director, said Tuesday that the group would place more ads targeting Democrats in North Dakota, Indiana and West Virginia - with a focus on the risk that Kavanaugh's confirmation could represent to the ACA.
Thank you for signing up for the 3 Things to Know Newsletter.
Meanwhile, Democratic lawmakers and liberal groups had a rally Monday evening on the steps of the Supreme Court to oppose President Trump's nominee.