Our SOPs call for fast align on a turn around. We only carry out a full align if GS is greater than some figure I can't remember or position monitor says greater than 5 in some line or other. Generally a fast align is fine on GPS equipped aircraft as I believe the ADIRUs realign on application of TOGA/FLX to the runway reference pooint
Our secure checks require fuel pumps, batteries, ADIRUs, APU, No smoking and emergency exit lights off. Crew Oxy goes off if it's the last flight of the day. Generally we don't secure if there's another crew waiting or if handing over to an engineer.
JJM - we regularly used to turn around our A319s in less than thirty minutes, but it was a most unpleasant affair.