Wow, 25% difference across the tyre is somewhat large and I find it hard to believe that is just down to camber or the fault of the tyre! I would just warn about spending a lot of your hard earned in search of Utopia and find it turns out to be a wild goose chase, before making sure all the basics are checked and rechecked first!
MPSS are notorious for being sensitive to tyre pressure which is why I suggested playing with these first.
Rule No 1 in setting up/adjusting suspension is to make sure the ride heights are all to spec before changing anything else. Anecdote - I borrowed a friend's Z3 many moons ago and to say it was 'nervous' is an understatement - it was just horrible and I was shocked BMW could produce something so wayward! Turns out (due to some incompetent previous modding) that the ride height was incorrect on both sides at the front and that it was about half inch difference from side to side. Once this was corrected and the rest of the suspension checked/adjusted it behaved just fine. My friend always refers to its transformation as nothing short of 'witchcraft'.
The F355 runs beautifully with 36psi rear and 34psi front. Others claim 35/35 is optimum. The Z4 is likely to be lighter at the back so pressures somewhere in the region 32 to 34 might be a good starting point but recognising the tyres are different width and aspect it may take time to find an optimum setting. The fronts may need to be a bit higher, say 34 to 36 as a starting point. I haven't checked the weight differences so these are a complete guess and I do know it takes time and dedication to achieve a good result. Yes, it's a different car etc but I have not come across a good 'sports' tyre being 'rubbish' on a different car. Suspension changes can be adapted for different tyres to get the best out of them but that is usually looking for the final 5% or so performance as the BRZ racing mob will be doing.
Finally I might drive my cars more thoughtfully but I doubt it would be any slower
One of my claims to fame is wearing out the rear tyres on the three Audi TTs I owned as fast as the fronts! 8)
I wish you luck in sorting out the problem and if it does come down to some suspension mods after all it will be interesting to see the 'optimum' spec for the MPSS on a Z4.
MPSS are notorious for being sensitive to tyre pressure which is why I suggested playing with these first.
Rule No 1 in setting up/adjusting suspension is to make sure the ride heights are all to spec before changing anything else. Anecdote - I borrowed a friend's Z3 many moons ago and to say it was 'nervous' is an understatement - it was just horrible and I was shocked BMW could produce something so wayward! Turns out (due to some incompetent previous modding) that the ride height was incorrect on both sides at the front and that it was about half inch difference from side to side. Once this was corrected and the rest of the suspension checked/adjusted it behaved just fine. My friend always refers to its transformation as nothing short of 'witchcraft'.
The F355 runs beautifully with 36psi rear and 34psi front. Others claim 35/35 is optimum. The Z4 is likely to be lighter at the back so pressures somewhere in the region 32 to 34 might be a good starting point but recognising the tyres are different width and aspect it may take time to find an optimum setting. The fronts may need to be a bit higher, say 34 to 36 as a starting point. I haven't checked the weight differences so these are a complete guess and I do know it takes time and dedication to achieve a good result. Yes, it's a different car etc but I have not come across a good 'sports' tyre being 'rubbish' on a different car. Suspension changes can be adapted for different tyres to get the best out of them but that is usually looking for the final 5% or so performance as the BRZ racing mob will be doing.
Finally I might drive my cars more thoughtfully but I doubt it would be any slower
One of my claims to fame is wearing out the rear tyres on the three Audi TTs I owned as fast as the fronts! 8) I wish you luck in sorting out the problem and if it does come down to some suspension mods after all it will be interesting to see the 'optimum' spec for the MPSS on a Z4.

err... yes 