Steering wobble

I know people get tired of hearing the tire thing, but I replaced trackbar, tie rod, tie rod ends and drag link and did multiple alignments and tire rotations and balances and tried tire beads and it was better, but not perfect till I got new tires. Not saying your problem has to be mine, but a shimmy is almost always tire related. If you had something wrong in the front end components you’d be getting death wobble, but your not
And it does almost feel like a little death wobble. Iv had it on this Jeep before and got it fixed with new tie rods and drag link. This isn’t as intense but is similar in feeling.
 
You either have DW or you don’t. DW is very violent and it won’t go away until you come to a stop. If it goes away when you slow to 25mph you don’t have DW.

Your tires are young. Usually should be fine, but there can be lemon tires. The idea of switching front to rear and vice versa is ok, but if you have a Jeepin’ buddy that you can switch all 4 with, it’s even better.