You can't nor should transfer the visa to the new passport. What you should do is travel with both passports, and a copy of your marriage certificate, when seeking entry into the USA:
Q.4 I currently hold a valid B-1/B-2 visa, which is in my maiden name, in my old passport. I wish to transfer this visa to my new passport, which is in my married name. What is the procedure?
U.S. visas cannot be transferred from one passport to another. You can travel to the United States with both passports as well as your marriage certificate, or you can apply for a new visa.
In addition, you should not try to remove the visa from one passport with the purpose of sticking it on the new passport.
However, you should obtain a different visa if your purpose of travel in the USA has changed since you applied for the B1/B2 visa.