The ECU doesn't like something about what you've done...
If you're sure you have the right wire (confirm it by checking the service manual at
http://www.nissanservicemanual.com ) then I would try putting a diode in there. That would allow voltage to flow from the factory wire to your alarm - but prevent any noise or pulses that are coming out of the alarm on that wire from getting back into the circuit. Kind of a 2 way mirror... the alarm sees the signal, but the ECU can't tell that the alarm is there. I'd be surprised if this fixes it - because the alarm should already be engineered in a way that doesn't cause an issue - but it's worth a try.
http://www.radioshack.com/1n4003-micro- ... ml#start=3
The line on the diode would go toward your alarm.
I'm assuming you've contacted Bulldog tech support to see if they have any suggestions?
http://www.bulldogsecurity.com/bdnew/re ... eo500.html
Good luck!
Heath