Front off you will gain up travel and It tends to further smooth out the ride in the dirt since you're literally honoring the independance in your IFS without the sway bar. I did remove mine for testing offroad and the difference is very noticeable.
As expected I like the handle better with the sway bar on.
With sway bar on, 315/70/17 tires and King CO's, i have 3 1/8 gap between the fender edge and the tires
Untitled by
RAM RSM, on Flickr
Untitled by
RAM RSM, on Flickr
With the sway bar off, that gap closes 1.5" so now the tires sit at 1 5/8", keep in mind this is with the truck sitting in the CO bumpstop. i'd expect that bumpstop will prob close another 1" or more on a big hit, so you have to account for that as well if you want the tires not to kiss the fenders while running the truck hard. Measure your gap with and without the bar with your current tires and that will give you an idea where yours stand.
Untitled by
RAM RSM, on Flickr
Untitled by
RAM RSM, on Flickr
The Zone UCA BJ is maxed out without the sway bars, Icon Delta Joints or Uniballs will also allow more uptravel as the BJ won't max at this angle.
Untitled by
RAM RSM, on Flickr
CV's are fine for the most part, this is the angle of the CV at full tuck without the sway bar so there is more room to go upwards if needed
Untitled by
RAM RSM, on Flickr
Since you have compression adjusters in your Kings you could set the front to stiff and help with the sway but I feel the precision/control in the way the truck reacts to steering input is better at speed with the sway bar on. Take it off to test and try it super easy to remove and super easy to install back. You may like it without it. I run mine with the bar on but i have longer front sway bar links. don't know if your links are the same as the ones in the DS trucks. if they're this are the Suspension Maxx links for 2-3" lift. 1/2" more uptravel in my case compared to stock lenght links with the sway bar on
suspensionmaxx.com
Your cv axels are going to be fine. Just don't go crazy with the jumps until you verify your fenders won't be your wheel stoppers at full compression
Rear off might give you a tad more droop and extra compression as well. Your rear control arms and trackbar have rubber bushings so they will rob some flex. My truck handles better with the rear bar for sure. I'll upgrade rear control arms and trackbar with stronger components and better bushings so you can enjoy full flex even with sway bar on. I've done some testing even with the Hellwig sway bar i have and I'm not loosing much anything up or down with the Hellwig on the most outer hole. But I do have Clayton rear control arms and trackbar with flexy bushings. My rear Kings are 3.5" longer than stock as well.
This was when i had the Kings OE rear shocks (27" extended, stock are 25.5").
I wanted to optimize my rear setup so i asked Accutune offroad for a cutom lengh King 2.5 rear shocks literally same lenght specks as dirt King uses in the rear bypasses for their RAM 1500 long travel kit. My new kings rears are now 29" extended. Zero issues going to the max with my rear setup (Clayton 2.5" rear coil springs, full Clayton Overland + rear arms, Clayton rear trackbar, Hellwig Sway bar outer hole, Core4x4 +2 rear swar links)
Hope it helps.