2002 Honda Odyssey dash and engine cut off while driving

Hello, your statement that the "ignition mobilizer cuts battery power while driving" is not valid in any way. There is an obvious electrical or wiring concern that will require troubleshooting. Start by removing any aftermarket non-factory products and restoring to as built factory condition. Then, troubleshoot the related electrical circuit. Keep an eye out for possible water damage to electrical components that may be present causing concerns. Use this link to find some shops near you that can help with your concern: www.repairpal.com/repair-shops