Seems I have ignited a hot debate here, which wasn't my intention.
The passion and enthusiasm of the AC community is a wondrous thing and it is often reflected in the emotive tone of such discussions as these. I think most of us would admit that we are still learning and what's even more relevant, that we have never actually driven the vast majority of the cars we work on in AC. This tends to influence our expectations of how a car should feel when driven and the temptation is to try and match the physics to our expectations rather than to the real life nuts and bolts. Even if you commit to authenticity there always seems to be a few assumptions and educated guesses to be made.
For example I really doubt that ARBs were fitted to the 250F, yet you have one defined for the front suspension, supposedly to eliminate the wobble you complain about. Your redesigned suspension has its front roll centre well outside of the chassis, so maybe this is also having an effect on stability?
The 250F used a De Dion rear axle at the rear with a transverse leaf spring, but AC cannot emulate this. The closest you could get would probably be DWBs with an ARB rather than the solid rear axle with no ARB in your model. This would also give you control over the rear roll centre and hopefully make for more authentic handling..
I don't mean to criticise, just to inform and before you tell me to do better myself, I don't have time as I'm already working on the magnificent, but uncontrollable Mercedes W125. (Unofficially of course. I wouldn't release anything without the original modder's knowledge or consent.)
One really worthwhile tip is to change the sounds.ini from
[ENGINE]
POSITION=rear
to 'front'
Many Kunos cars seem to have this as a default regardless of their engine position and most mods have this same error cut and pasted.
It makes for a better sound when you're in the cockpit... at least I think it does, but no doubt someone will tell me it isn't used anymore since the FMOD switch.