The Judge is not going to be sitting at the house on the first waiting to see if the child arrives. If he does not comply with the court order, the court will not automatically know. If someone notifies the court, by filing a motion seeking to hold him in contempt, then the court MIGHT issue a warrant but might also just issue an order for him to appear at some specific time to explain his failure to comply.
Execution of a warrant on a military base is done by the military. Ordinarily, the MP will have the suspect come to the office and will then surrender him to the civilian cops. If he is in another state, other than where the warrant issued, getting extradition is an expensive undertaking and so the local cops may not want to execute the warrant. Then there are time when the military learns of the warrant and simply orders the person to go to the court that issued the warrant. There are many variations and no universal answer.