She didn't take her husband's name (common now days especially with NY values).
Wiki says this ...
In 2007, Ivanka Trump donated $1,000 to the presidential campaign of Hillary Clinton. In 2012, Trump endorsed Mitt Romney for president. In 2013, Trump and her husband hosted a fundraiser for Cory Booker. The couple bundled more than $40,000 for Booker's U.S. Senate campaign.
Booker is a democrat. Wiki says this... "On social issues, Booker is pro-choice, supports affirmative action and same-sex marriage."
Yeah, I can see her as Trump's daughter.
Ivanka Trump is a close friend of Chelsea Clinton, who says of her: “There’s nothing skin-deep about Ivanka. (Source wiki)