The accessory is coming on at the same time as the ignition. Am I better off to bypass the passlock with resistors?
To my knowledge, the problem would still be there afterwards since your accessory comes on with ignition.
I've seen people power accessory with the (+) parking light output instead. The only downside of this, is that when you do lock or unlock the accessory turns on, BUT if you are comfortable with relays, their may be a trick to power accessory using the parking light output ONLY when the remote starter wants to start the car.
Before doing anything else though, you may want to try this very simple test.
remove the accessory connection of the remote starter to the car.
remove the EVO yellow wire connection
connect yellow wire of EVO to remote starter accesory wire.
Next, I'd recommend contacting the manufacturer of the remote starter to see if they have any fixes for their problem.