Maybe not a warrant, and IANAL, but government agencies aren't necessarily at liberty to share information amongst themselves. For instance, IRS needs a court order to share returns with law enforcement (IRC Section 6103(i)(1)).
But yeah...this seems like maybe not a super great solution...

Would a Buddhist bluff at poker?
(They say yes, bluffing in poker is fine, but false shit talking/"you should fold because my hand is so much better trust me!" is perhaps to be avoided.)