Let's go whole hog banana republic:
"Canadian Special Operations Force Regiment( Pierre Trudeau's Own)"
They should have harnessed their inner Don Cherry and made the tunic multicam pattern

He would definitely chirp them for wearing ballistic eyewear though, we all know visors are for panzies and only frenchies and euros wear them!

Continuing on the topic of Banana Republics I'd like to take your renaming of the Regiment a step further by rechristening their first Direct Action Company as "Sunny Side Up Company".
I've even taken the time to create a new logo for them which they can have velcroed (because sewing is so not cool) on their new multicam tunics:

DG H&A has issued a decree that this sub-unit will now go by c/s YOLK over the radio.