Stick welding is typically "hotter", so better penetration of the metal is achieved.
Mig may sure look purty with a lot less skill, but it doesn't necessarily mean there was good penetration to both sides of the weld. So there could be a failure of that weld.
There is a LOT of info in the above two links, please read em if you are gonna be doing some fabrication.
I really would hate to see a shackle eyelet on a home built bumper come loose under load! :shock:
Both methods have their advantages and disadvantages. I prefer mig for doing all my tacking and setup. And then I'll switch to stick for good penetration. (Note, I personally have no welding machine(s) in my garage, I use the equipment at work).
For positional welds (welding the bottom side of a joint on your rollcage thats already in the jeep), I'll admit, mig makes it a LOT easier. But then again, I'm not much of a fan of upside down (position 4) welding. The spatter burns my chest and legs too much.
Either process will work great, mig has the bonus of being able to switch to a nice thin wire, and doing body panels without too much grinding. I think mig welding is like drawing with a big fat crayon, just pull the trigger and move your puddle around. Stick is like trying to do calligraphy with a foot long pencil that likes to stick (thats why its called stick welding) or blow holes thru the material.
If you can learn stick, then everything else is easier. If useing stick, you don't need to mess with gas bottles. If you use stick, you only need one type of electrode (7018 for mild steel), unless you are getting into alloys. And its easier to carry a sealed little box of rods, and the ground clamp and a stinger. Thats why the underhood welder is stick, with the mig attachments available. But stick will turn your body panels to swiss cheese unless you have a really, really good hand.