He hasn’t faced a single Senate Judiciary Committee question yet about his nomination to the U.S. Supreme Court, but conservatives are already whispering that U.S. Circuit Court Judge Brett Kavanaugh will take the step in redefining abortion rights in his first term.

Anti-abortion forces are expecting states, likely led by Indiana, to ask the Supreme Court to back laws requiring abortion providers to handle fetal remains like the body of a deceased human, either by burial or cremation.