By removing your sway bars you are basicly allowing the axles to move more freely.
The sway bar on IFS or TTB front end actually works to connect the two sides. Therefore if you hit a bump the shock is felt at the other tire as well.
In a corner this bar acts to check the amount of roll or lean. The beefier the bar the less it bends therefore the less lean.
With the solid rear it is the same concept however shock will always be felt at both tires, and again it acts to check the lean.
On road these bars allow for a lot tighter handling in corners as well as a variety of situations. Without sway bars on road you will likely add to the roll over statistic if you gots a heavy foot.
Off road you will find that often your rear axle tries to do this / as you go over rougher terrain. It does this to allow the wheels to remain in contact with the ground yet limit the lean of the body and chassis. Now above we discussed how the sway bar checked the lean on a flat surface. On a un level surface it prevents the axle from twisting to keep the body more level. Therefore a good idea to remove when off-road. Good to have on when on road.
For the IFS front it just sucks on uneven terrain regardless. I'm sure removing the bar helps a bit by allowing the front end to be truly independent therefore less harsh, but you will still find yourself with a tire in the air most of the time. Just lock the front to give that one tire juice, or replace it with a solid axle if you want to flex up front. In my opinion the sway bar in front won't make much difference. Though I may soon be proven wrong