Sounds like you'll be a little over your gvwr for your truck...

Your payload on a 4x2 is 1395, and 4x4 is 1325 lbs...
2 quads = 1200lbs+ (I have a big bore and it weighs in close 670lbs with oil, fuel and winch)
1 trailer = 600lbs+ of tounge weight (plus battery, propane tanks, and whatever else is packed in the front compartments, where is the fresh water tank? Hopefully over the axles) Is that 6000lbs dry or the GVW on the trailer?
1 Quad deck = Hopefully aluminum
That's 20000lbs and beyond, before you add gear like extra fuel, people in the truck, any accessories you put on that truck. It all adds up.
I would highly suggest a helper spring, add-a-leaf or air bags for the rear suspension and a load leveler/equalizer hitch.
As well, being from BC watch out for local law enforcement... Or have they gotten easier when it comes overloading trucks?
I used to hear of guys going sledding to the mountains from Alberta and getting in trouble with the law for having two sleds up on a sled deck on a half ton truck with all the gear stowed underneath the deck.
As for how the truck will pull the trailer, it will do it wonderfully, just don't pass any gas stations. You'll need it. I pull a 31ft Jayco with my 08 DC 4x4 and it has gobs of power, but 7.5mpg doing an average of 100km/h. I put in Air Lift airbags for help in the rear, as I throw a quad in the box sometimes.
Usually end up taking 2 vehicles, but not always economical.
I know, I know, over my GVW on the truck too, but just worried about 2 quads and a deck.