John Omaha is the president-elect of the United States.
John and his wife seem to be well acquainted with Ine Makigami. Kogarasumaru first meets Omaha through the Inorganic Net, but when they are forced to suddenly pull out after Nike and his henchmen attack them, Emily and him accidentally switch bodies. He shows Ikki and Kazu his love for Air Treks, and tells them that it was very popular in the L.A. Shortly afterwards, Emily's body (With Omaha still inside) was taken back to the States in hopes of figuring out a way to switch Emily and himself back to their original selves.
Omaha has recently joined Tool Toul To on Sora's aircraft carrier to get the Storm Regalia to Ikki. While on the carrier, the are confronted by Merlin and Morrigan. Here the president shows that he is a competent fighter, able to hold his own against riders of their level while attacking in close combat with a rifle in (her) hands.
'John Omaha' is based on the former POTUS, Barack Obama, and the current President 'Mosh' is likely based on President George W. Bush.