Could a person with great working ability work for the Navajo Nation Government, with a DUI on their record?

I've always wondered if people with Dui's on their record was possible to work for them. I know it varies from state to state, but what about the Navajo Nation. The Navajo Nation is a sovereign nation. As well as the Hawaii's, they have their own nations. The ablility to have the same laws and same problems over the United States. So what happens to people that want jobs that have Dui's. So many people have made mistakes and now have to lived with them.