I'm late to the party, but if there is a dropped pitman arm, REMOVE IT IMMEDIATELY! That could very well (and likely is) the culprit, or at least contributing to the shakes you're experiencing.
Very first thing to do here is a dry steering test. If you do that and notice something loose or with play in it, you've likely found your issue. For me it was the axle side track bar bolt not being torqued down to the right spec.
The other thing we always suggest around here are tires, tires, tires! It's very hard to balance large tires for off-road vehicles. Because of this, many shops don't do a good enough job and you end up with vibrations like you're describing. I would most definitely take it into a competent wheel / tire shop and have them check it out. I'd make sure it was a place that specializes in 4x4s and off-road vehicles before even bringing it in.