So, 2014screw... Really confused now! :) You've gotten answers covering all the bases here from "sure thing" to "no way"... ;)
Now what do you do? Sell everything and don't ever leave the house! :)
The real question is basically up to you.. Will you exceed your trucks GVWR and/or payload rating with that combo and a truck full of a growing family?
Probably... By how much? No one is going to know until you get some real weights, and you can't really do that until you buy the thing!
Will going over any of those ratings cause the truck to break? No, but it'll be at max weights, so go from there.
If it's a couple hundred pounds, I'd say you'll be just fine... Just don't exceed the rear axle rating/tire ratings and use some common sense when towing and all should be fine.
But, if that couple hundred pounds keeps you awake at night, don't do it.. Pretty simple.. :)
It would not phase me in the least, but that's ME... :)
Good luck!
Mitch