The short answer to both questions is "no." It is not parental kidnapping, and no, they can't do this. Assuming the two of you were never married, and assuming the children have lived with you in Illinois for the six months prior to the father taking the children, then Illinois will maintain jurisdiction over the children. Guardianships are, by their very nature, temporary custodial arrangements. Typically, if you don't have any other court orders in place, then you can terminate the guardianship at will and demand the children's return. You will want to hire two attorneys soon: one in Illinois to pursue the custody orders there, and one here to help coordinate with the Nevada courts as the father will probably file an action here to retain custody. It's not going to be pretty, but it should be fairly straight forward. Good luck.
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