You don't have to register. You connect to any DeFi wallet such as Metamask. You are right about chainanylsis being powerful. To get around that you would purchase crypto at a non-KYC exchange and then transfer to Metamask then to Polymarket. Then back Polymarket, Metamask to no-KYC exchange. No one knows the identity right now. So you make a trade to Monero. The government has a bounty on the person that can crack Monero's code. Since they can't break the code now, the money is untraceable.
If you want to be stupid and purchase from Coinbase or Kraken, then you're busted. These offshore no KYC exchanges aren't going to share any info with the US govt. You may be right about the motives, I'm just guessing and feel it's retaliatory.