Antivaxers frequently object to the use of fetal cell lines to manufacture vaccines on "moral" grounds. Über-quack Joe Mercola lays down some astonishingly bad moral arguments based on pseudoscience.
Antivaxers frequently try to appeal to antiabortion activists by claiming "fetal parts" are used in vaccines. In Michigan, they're trying to enshrine such deceptive efforts into law in Michigan Senate Bill 1055, which would mandate "informed consent" regarding vaccines for which fetal cell lines are used to grow the virus. In reality, this would be misinformed consent and a strategy to frighten parents out of vaccinating.
Antiabortion antivaccine activists like to claim that "aborted fetal cells" in vaccines mean that vaccines are contaminated products of evil. In reality, there are no "aborted fetal cells" in vaccines. A cell line derived from an aborted fetus in 1962 did, however, lead to huge advances in vaccine technology and the prevention of many millions of deaths worldwide.