I don't know why he wouldn't be. Extradition, in a straightforward case like this, is pretty routinized I believe. When there are political prisoner issues (extradition from the U.S.) or death penalty issues (extradite to the U.S.) or when the crime isn't otherwise covered by an extradition treaty between the two countries, then there can be problems. The defendant can delay the process a little bit, but I can't see a reason the U.S. wouldn't turn him over.
In less serious cases, the problem is getting the government to pay for the extradition. One would probably be surprised at the number of times someone is wanted in Oklahoma, found in California, and the local Oklahoma D.A. says, "turn them loose, we don't want to come get them."