Honestly, considering the person behind this, it wouldn't surprise me if this were just a cheap insurance fraud attempt. We don't have video of this purported robbery, we just have the word of a known liar. If you're the Secretary of Homeland Security, getting replacement IDs quickly is not going to be a problem. Proving your identity is trivial; you have staff around you 24/7 ready to vouch for your identity. And what insurance company is going to want to accuse the Secretary of Homeland Security of fraud over a few thousand dollars?

Easiest scam in the world. Feed your IDs and checks through a paper shredder. Put your purse, wallet, and medication in a trash bag, put it in the bin right before the truck arrives. Or maybe just burn those in a fireplace. You have now destroyed your purse and its contents. Call the media to report your purse has been stolen and claim in contained $3k in cash. Have your staff file an insurance claim for the purse, the value of its contents, and the $3k in cash. Have your staff do the legwork of getting all your documents restored.

Instant $3k, and you never have to lift a finger.

Do I think a Trumpist Homeland Security Secretary would be petty enough to commit insurance fraud for a measly $3k? Why yes, yes I do think they would be that petty. They would do the whole thing just daring the insurance company to call their bluff.

Easiest scam in the world.