I didn't understand what you meant (state vs federal) initially, but I think I now understand after reading this very long Lawfare article.
Federal prosecution under the FACE Act seems to rely on the interstate commerce laws ... abortion clinics participate in interstate commerce because they sometimes/often service clients who live in other states, and those people pay for their procedures.
Simplistically, attending a church service does not involve interstate commerce. A protest at a church should not be deemed a federal matter.
It is spoken of under the section titled The Commerce Clause in the article (for easier finding for those who are interested to read it).
Unpacking the Don Lemon indictment, its factual allegations, the elements the government must prove to convict, and the potential defenses available to the accused.
www.lawfaremedia.org