Couple things - the sticker on the PCM is its box code. The strategy is the 'family' of processors - you are much better off giving the tuner the strategy because on '05 and up Mustangs the dealer will reflash the PCM to upgrade programming and sometimes change it. They'll do this without telling you and may do it whoile they are doing warranty work, changing oil etc. To get the strategy, plugh tht X3 in the car, then go to Vehicle Information, and one of those options under that is "Read Strategy".
So called 'torque tunes' are just someone messing with the drive by wire settings to give more torque at lower RPMs to improve what it might feel like - you don't actually gain power because it's just like you giving more throttle down low all the time with a cable throttle system on an older car. i,e, it opens the blade more with less pedal and demands more torque at a lower pedal position.
You will most likely need a new tune for your car unless yours is the same strategy as the one you bought it from. It is not the same box code because the tranny is different. But to be safe, I'd get one for it if it were me - they are pretty cheap - we charge $50/tune and Justin at VMP is also excellent and his are in the same price range.
My own '06 picked up a LOT of power from a C&L Racer (they make different CAIs) and a tune - though I dynotuned mine. I also modded my drive by wire settings because I hated the feel of the way that SCT's recommended settings felt. I have used my own derived settings on a number of customer's cars and they really liked them.
You will need to specify WHICH CAI you have exactly as the '05's and up are particularly sensitive to changing the inlet. Exhaust changes, except for long tubes, usually do not require any tune changes - have whoever does it for you shut off the rear 02s and you'll be good to go when you put on the O/R pipes.
Don