amp draw? 2005 chev tahoe

I'm looking for a short under the dash of a 2005 Chevrolet Tahoe Z71.  After a tech installed a Remote Start switch yesterday I came out this morning to find the battery dead.  Right now, if I pull the ground lead and take an amp reading with the key off it's drawing 3.6 Amps.

My question is how much if any amp draw should that truck show with the key in the off position?

Thanks in advance.

1500a of current draw = a short.     I think he meant to say 1500ma.  I think 1500ma is way too much. 

I pulled the lead off another Tahoe that is a current year model and his was drawing 4 amps which seems like way too much.  I think what is happening is when I pull the battery lead, everything goes dead of course.  Then when I put the Fluke meter in line, what I'm seeing is the truck's computers coming back up.  Perhaps if I just left meter in line for 10-20 minutes the draw would subside.

Simple math says there is just no way you could leave a truck unattended at an airport while you were gone for a week and not come back to a dead battery with a 3-4 Amp drain.