I have remote locks also, and they work fine. But I still have a LockZilla.
They're wired so that the alarm system throws the driver's door, and the
lock module functions throws the other lock.
The alarm module has a relay for putting 12V on a lock motor but it's
nowhere near needed rating for the solenoids' current draw. A second relay
was put into place. If I recall, there are two red (12V) wires to each
solenoid, and the alarm took control of one of the red wired for the
drivers' door though a high-amp external relay.
Hope that helps,
Gus Schlachter
Austin, TX
VIN# 4695