I just read the manual and it says that opening the SUV with the key shouldn't make the alarm sound. This is cut and pasted from the manual:
If a door is opened without the key or the remote keyless
Remember, the theft
entry transmitter, the alarm will go off. Your vehicle’s
headlamps will flash and the horn will sound for about
two minutes, then will turn off to save the battery power.
-deterrent system won’t activate if
you lock the doors with a key or use the manual door
lock. It activates only if you use a power door lock
switch with the door open, or with the remote keyless
entry transmitter. You should also remember that you
can start your vehicle with the correct ignition key if the
alarm has been set off.
Here’s how to avoid setting off the alarm by accident:
If you don’t want to activate the theft-deterrent
system, the vehicle should be locked with the door
after the doors are closed.
Always unlock a door with a key, or use the remote
keyless entry transmitter. Unlocking a door any other
way will set off the alarm if the system has been armed.