The fact that YOU say your car wont go that fast means nothing, as said you could of taken the engine out and swapped it for an 850cc mini engine.
You need to prove Thier equipment is wrong,as i havent read all the posts,if you got measured at 100ish mph then its a ban of some description or another, if you get measured at 143 or even 130 it could mean jail,very simple.
They will look at everything,road conditions, how busy it was,time of day/night,on your own,with your mate showing off,how you were driving car condition, all just to pin something on you.

I think you might be just unlucky but what do i know.