You can interact with the contract directly on the eth chain. Likewise you can create a new gui/domain to interface with the contract.

it's hosted on IPFS and the source code is on GitHub

https://github.com/Uniswap

So what happens if a US government entity issues Protocol Labs a cease and desist order (they are the YC-funded, Palo Alto California based creator of IPFS)? Do they just roll over and go out of business? The network might be decentralized, but the company and people behind it are not.

What do you expect them to do? Hardcode their clients to ignore that certain CID? That obviously won't work for a whole host of reasons.

That Uniswap UI is out there and literally nothing can stop it.

My understanding was the licensing on the web interface was not liberal

sure, but the smart contract (backend) is deployed on public ethereum blockchain, nothings can stop you from building your own client

No KYC. It's good enough for now.

You can see you used uniswap for your wallet activity so you are screwed if your wallet address is every audited in the not so distant future?