To be fair, my 96 is still on original bushes after 270k kms, and still handles terrifically. Most of those were spent in the badlands of Hertfordshire and Bedfordshire.

I wouldn’t assume a general “its the bushes” issue; too many people “upgrade” to some sort of poly bush and have buyers regret. In worse scenarios, an ebay set of silicone bushes is fitted, the bushes seize up and the wishbone snaps…
As your is a late UK 1.6, then it should have been stripped by Mazda of its subframe braces. The longitudinal braces are a waste of time, and I suspect yours might not have the mounting points on the floor pan for these. The front and rear braces should just bolt up, and will certainly improve that low speed shudder.
Try swapping the wheels from rear to front. Just because the tyres are new, doesn’t mean one isn’t bad. Hopefully the tyre place got the red spots correctly aligned. You might also have a wheel that isn’t round. Wheels can be damaged, and many cheap wheels aren’t even properly round from the get go (Rota had a reputation for this)
Get a proper alignment done; maybe replace the alignment bolts at the same time, as these can go bad. And by “proper alignment”, not just taking it to a place who checks it is within vague Mazda specs, but who can actually set up a car. WIM (Wheels In Motion) is a long way from you, but can recommend places local to you who know their stuff. Frankly, I hated WIM’s fast road set up at times.
Lanny Chambers setup was for years considered the setup for the NA MX5:
http://www.hummingbirds.net/alignment.html
Good starting point.
Although it all looks crusty underneath, if it was really rusty, the garage would have hit problems extracting the rear shocks, and the lower shock bolt seizes up, and breaks the captive nut inside the wishbone. That they didn’t suggests that under all that underseal, everything is fine.
The steering vibration needs more characterization; does it occur at all speeds, or only low speed, for instance. Have a look on miataforum.com, in the NA section. There are a HUGE number of threads related to vibration issues, and some really good advice there. I personally would not be booking myself in for a bushing replacement right now, unless you have identified a specific pushing that has failed. Its an expensive route to follow, and may (probably) won’t solve your issue.
So,
Easy options in order; swap wheels about, test, visually check for run out (jack up, spin wheels), proper alignment, fit front/rear subframe braces from a breakers.








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