Legally, we should extradite him. He committed a crime under Mexican law.
Having said that, I don't know why Mexico is intent on prosecuting him. Imagine the situation being reversed, where a Mexican bounty hunter nabs a Mexican citizen in this country who is wanted for a crime in Mexico.
I think we'd send a thank you note.
Mexico is probably mad because that particular bounty was a key to turning Dog into a TV personality. From where they sit he got famous for breaking their laws, which really wouldn't make anybody happy.
And since Mexico doesn't believe in bounty hunting the reverse would never happen.
Chapman embarrassed Mexican and American authorities. That seems to be his most serious crime. Also, whoever Luster was paying off down there lost a large sum of money when he was returned to the USA.
Except if the powers that be were being paid off by the fugitive in question.
How about we make them a deal - they take back every last one of the illegal invaders who are here in the US from their own country and we'll hand over Dog after the last one is gone from our country.