I question whether feds know enough about trad Catholicism to mimic it effectively but fair enough.
Was also less thinking of professional spies (though I guess sure maybe) and more was thinking about poche types early in their development etc
I think the problem is less about a fed being able to study up and pose, than it is about a trad-turned-apostate who is offered money. It is no secret that the ADL and the SPLC, both who identify Trads as hategroups, work hand-in-glove with the feds and have the money sources to buy off disaffected former trads.