There is a large range in what can constitute liberal views. People like Joseph and ujm call people who disagree with them liberals. Have any of those people ever said they’re in favor of abortion? In favor of gay rights or gay marriage? I don’t think so. They said that you can be a frum Jew and still daven without a hat and jacket, and other things like that. There’s a big difference between that and saying abortion is ok.
Just for the record, I once heard a discussion about abortion between two relatives of mine, one of which is a Rav. He said that halachically, a fetus does not get a neshama until (I think) a month or two after conception. That can mean up to two months into the pregnancy (conception is not when they start counting how many weeks you are, it’s generally 2 weeks later.) He said that halachically, an abortion before then would not be considered murder. It would be considered a form of birth control. Now, some forms of birth control are allowed in certain cases. This method, however, is not. But to say it’s murder that early is not halachically correct. The problem is that abortions are legal after that point.
Now, the question arises, is birth control also assur for non-Jews? If it’s not, then abortions in the first month or two can be legal by US law without any halachic issues.
My personal opinion is that abortions in the first month or two should be legal only in extreme cases, such as for rape victims. Obviously, if it affects the mother’s health and puts her in danger, it should be allowed regardless of the time frame.