Hard to be sure from the pictures, but here are a few thoughts.

Looks like you are running circa 1954 chevy spindles and brakes. You are also using the stock chevy lower steering arms that connect to the tie rod. That could be one of your problems. The stock chevy arms are designed to go facing the rear of the car, and someone has turned them around backwards in typical t bucket fashion. Problem is, this has screwed up your ackerman ( long story, don't ask) All you need to know is that companies like Total Performance have developed special arms to replace these stock chevy items to get the ackerman back. They move the pivot point out further and restore semi-correct ackerman.

Another problem may be the amount of caster dialed into the front end. Chevies of this era like more caster than Fords, I think like 7-9 degrees, but it has been awhile, so I sort of forget. Your front end looks a little neutral in this regard, at least in the pictures.

Third, your tires may be the contributing to the shakes. I had a set on the front of my '27 that started to exhibit some shaking that would only stop when I hit the brakes hard. I bought a new set of tires and it left.

Lastly, someone has bolted a damper onto the axle and tie rod to probably try to fix the problem, so it probably is an inherent design flaw causing your shakes. I think you should find a good alignment shop who knows more than aligning Yugos, and let them put it on a rack for a 4 wheel alignment. An ill handling car is not only a pain, it is really dangerous. (especially with no roof over your head)