Nothing.
lol. No faith in the justice system.
Technically, Craig Wright, no matter how wrong Mr. Wright is, could indeed get a patent. Let's imagine he was NOT Satoshi, but among the first 'top 10' working on blockchain. In the US, the system was changed from 'first to invent' to 'first to file'. In the prior system, only Satoshi could get the patent. In the new system, the first guy to file the patent gets it. So, Wright, despite not being Satoshi or the first to invent the blockchain, nevertheless could get a valid patent.
We wouldn't necessarily know about it today either. Although a patent is generally published 18 months after filing, the inventor MAY request that it be kept from publishing and held in secret until examination is finished. So, Craig Wrong may have filed the request to keep his pending patent prosecuted in secret. Sometimes prosecution can take up to 10 years. So, the patent may still be in the examination stage today.
If a patent were to issue, on the fundamental aspects of blockchain it would be a very tricky mess. This is because EVERYONE practically would infringe. Even a guy who loads up a wallet, but puts no money in there. A patent gives the inventor the right to exclude others from 'making', 'using' or 'selling' the invention. using the blockchain would trigger infringement.
Mr. Wright would not bother suing everyone - because that could get a little expensive. But, he could go after anyone with money - like Coinbase. Having success there, he could ask for all new entries to pay a license fee. Anyone who operated without a license could probably do so without much worry, unless they because large in size. Then they'd surely be speaking with Wright's lawyers.
The patent systems in nearly ever non-US country are weak, very complex and hard to manage, insanely expensive, have terrible reliability problems when going for enforcement. Even the EU 'community' patent which might become strong one day, is just not ready for prime time. China, which is now the bitcoin king, has a fairly soft idea about patents and intellectual property. I doubt seriously that a patent in China could be of interest to the bitcoin community there. So only a US patent would be a nightmare for Bitcoin. Let's hope Wright went only for the Australian patent (his home country). Then, it would be irrelevant and not even an inconvenience.
If we don't see a patent pop up in the next 3 years, I'd bet significantly that he doesn't have one pending. However, OP's question is a valid one today because it remains possible that a patent is still pending and may show up one day!