So if you are having lane changing issues you definitely have issues up from and perhaps in the rear that need to be addressed. My first Sprite was so bad that encountering a paint strip would make him change lanes,
1) Fulcrum pins will be worn, and sometimes screw threads are totally gone or the end of the wishbone will have a crack in it. Three Spridgets I took apart trying to salvage wishbones, 2 out of 3 had cracks right at the very end from fulcrum pin siezing up from lack of proper maintenance. Wishbones can get new bushings brazed in but it takes a special jig and technique to do it, Apple Hydraulics will do it for you but last set I had done ran me $250+ with shipping.
2) New Wishbones w fulcrum pins can be found on sale for $100 a side. MOSS also sells a better grade of Fulcrum Pins that are heavier duty. All depends on your checkbook.
3) MAjor Suspension Kit - yes you will need all of the parts and pieces as the bolts that secure the wishbone to the mounting points are usually all rusted up. A swazall is your friend so instead of swearing and having bloody knuckles. Cut them and wishbone will be out in 5 minutes.
4) Same for fulcrum pins from the kingpin. Unlikely that you will be able to unscrew the fulcrum pin. Carefully slice and cut the fulcrum pin not the kingpin. There is a pretty good gap thee and a thin blade fits right in the gap.
5) And do not forget a set of shocks from Peter C. A BE's Lever Arm functions like an upper control arm. Wear on the shock armsd can cause all sorts of gyrations in the front end.Call up World Wide Imports, give Mrs. Caldwell your address and Credit Card number and in a few days a box will arrive with return UPS Postage on it for your cores. Order a set for the rear as well as you need to keep the rear end under control as well. New Radius Arms more than likely will be needed if you've done a lot of driving. Unless you've get a torch to braze in new bushings, just order new and it's a bolt on.
6) Kingpin bushing need a special reamer tool. Truly a ream to fit. I sent mine off to Peter C. at World Wide and he provides a turn key service including fitting the proper number of Spacers under the Kingpin so front end turns properly, new bushings fit properly. Took a week in and out with Shipping from OH to WI. A couple of days more for you.
7) What's it all gonna cost. By the time you are done almost a grand. But the difference in the way your BE will drive is something you will not believe.
8) And if you've never done this before I'll post a disassembly link and reassembly.
While you are in there check front wheel bearings, regrease if nothing else. Check sway bar bushings. Pretty sure that car had a sway bar and I've got John K.s cell number and e-mail address if needed. IIRC you bought that car from him.
I've done a front end rebuild now 3 times and demo on parts cars 3 more times. Dirty, ugly job but not all that hard to do. It's the second most expensive repair to a Spridget but when it's done right Oh Baby!!!
Here's a step by step with pictures
https://www.mikeamick.com/76midget/