For example, Kavanaugh represented former Florida Gov. Jeb Bush in his fight to overcome constitutional hurdles to his controversial school voucher program that would direct public money to private religious schools. In the 2000 election came down to Florida, he worked on George W. Bush’s legal team.
During his confirmation hearing in 2006 for the District of Columbia Court of Appeals, Kavanaugh stated that he considered Roe v. Wade binding under the principle of stare decisis and would seek to uphold the ruling of the higher court. However, he also ruled in favor of abortion restrictions in several cases.
In May 2006, Kavanaugh stated he "would follow Roe v. Wade faithfully and fully" and that the issue of the legality of abortion has already "been decided by the Supreme Court". During the hearing, he stated that a right to an abortion has been found "many times", citing Planned Parenthood v. Casey.
In October 2017, Kavanaugh joined an unsigned divided panel opinion which found that the Office of Refugee Resettlement could prevent an unaccompanied minor in its custody from obtaining an abortion. Days later, the en banc D.C. Circuit reversed that judgment, with Kavanaugh now dissenting. The D.C. Circuit's opinion was then itself vacated by the U.S. Supreme Court in Garza v. Hargan (2018).He has also been a dissenting vote in preserving the Affordable Care Act, In 2015, Kavanaugh found that those directly regulated by the Consumer Financial Protection Bureau (CFPB) could challenge the constitutionality of its design
There is more to be learned about Brett Kavanaugh and his hearings will likely go on for awhile.
Addendum: On-going list of articles that shed further light on his judicial background.
Trump’s Supreme Court pick: ISPs have 1st Amendment right to block websites (added 7/11/18)
Trump’s Supreme Court Nominee Is a Major Net Neutrality Opponent (added 7/11/18)
Brett Kavanaugh Has GOP Bona Fides, But a Surprising Record (Added 7/11/18)
Here’s How Kavanaugh Could Deal a Big Blow to Gun Control (Added 7/11/18)
How Brett Kavanaugh Would Change The Supreme Court (Added 7/12/18)
Judge Brett Kavanaugh: In His Own Words (Added 7/12/18)
A look at Brett Kavanaugh's opinions on guns, abortion and the environment (Added 7/12/18)
America Under Brett Kavanaugh (Added 7/12/18)