The definition of jurisdiction matters a lot here. But it's hard to explain why it would be that if someone who is here legal or illegal in the US, commits a crime is not subject to the jurisdiction of the US, and therefore should simply go free and be deported as if they were simply a diplomat, with diplomatic immunity...

There's many cases as well like the Gitmo cases that explain what "jurisdiction" means, and it doesn't even simply mean whether or not you are on US soil, but can be subjected to US laws, even when overseas.