They have every authority to regulate it.
Its routine performance is medically unnecessary. It does harm to the patient, not to preserve and protect a life but for its own ends.
Parents need to get in through their skulls a child is a separate and distinct human being, not a piece of personal property. If you condone a child's genital mutilation you condone abortion.
Both presuppose a parental right to maim one's own child. One fatally, the other causes permanent damage to a private part fully formed and functionally normal.
Whether circumcision is medically necessary is entirely irrelevant. I have read the literature, in detail, and there are both significant long-term benefits and mild short-term risks to the procedure. As for the authority to regulate the decision, Jews have a G-d-given human right to make that choice, and the First Amendment makes that human right an enforceable legal right. Anyone who wants to interfere in that decision will lose in any court governed by the supreme law of the land and should lose in any court (Note: the 9th Circuit does not count as a court governed by the Constitution and does not to any sensible person count as a court at all).