I was wondering about this last night.
When we invade Iraq, what do we do with the embassy in the US and the members of Saddam's regime in there ?
I can't believe we would do nothing about them and just let them run around with diplomatic immunity.
We don't have diplomatic relations with Iraq, hence their Embassy in Washington is not staffed. There are Iraqi diplomats in NYC accredited to the UN. A similar situation exists for North Korea. We place travel restrictions on them so they have to stay within the NYC area. Any travel outside that area requires permission from the State Department.