There will be some twisting movement, but it should be snug, there should be resistance. Unlock the steering wheel and have someone move the steering wheel back and forth. Have them do it slightly and slow and watch all of the steering linkage. Listen for popping sounds, watch for any delay in movement as well. Ex. if you watch the pitman arm, the pitman arm and tre should move at the same time. If the pitman arm moves and then the tre then that tre is bad. I hope I haven't confused you. It's hard to explain typing than verbal.
I am always amazed at the complete ignorance people spout about this subject (Death Wobble). It's almost always them passing on crap they've heard or read, but the lack of REAL experience and understanding of steering and suspension is something that drives me to either laugh out loud or lose my temper... depending on the day I've had I guess. I do not know it ALL, but have enough experience with DW to have written in depth about it to help others get some understanding of it.
That having been said, there is only a slight bit of good advice in any of the above posts and as usual, the very first thing that should have happened is that someone should have asked for more information before giving up ANY "help". You can NEVER answer a question about DW without KNOWING a lot more than "my front end shakes". Any tech worth a second thought would never give an answer to that without probing into the trouble. Like: what have you done recently to change things, any hard hits or bumps, mileage, is the vehicle lifted, what are you driving, a JK or TJ or... you know, the easy stuff.
If you want to KNOW about DW, go to my article at:
Happy Trails 4wd: Death Wobble
There you will learn a great deal about the REAL causes, how to check for them, how to truly fix them, and more. It also tells you that most "good techs" that I have worked around are not qualified to cure DW. Not many have the ability to think "Into" the parts and understand what makes them work together. They just replace parts until something changes enough to make it quit. DW is without a doubt one of the hardest problems to diagnose. It is seldom just one bad part, but more often a combination of a little wear here and there that add up. Of course there are exceptions.
Read the article and watch the videos from Teraflex. You will then know more than the average tech. Even if YOU are not mechanically inclined, you may at least be able to find a tech that will be able to help you because you will KNOW what to ask them to know if they are knowledgable or just learning at your expense.
You can get SOME good info on these forums, but you have to know when to take it to heart and when to RUN AWAY. Opinions sometimes don't repair anything but the ego of the writer. But who pays the bill if you buy into the opinion? The above posts from Catoctin Jeep have been on the right track, but need to expand just a bit. Most of the rest have been poor or even bad advice.