The question comes up again and again. The facts will not change, so nor will the correct answer, which has been correctly given above in various ways. Unless you are doing something really clever, such as introducing a different RISING RATE springing media, possibly gas, the short travel suspension is NEVER going to work properly. It is all a question of the size of the car, and the resulting short wishbones.
You ONLY get sufficiently rising rate from coil springs by allowing the coils to progressively close up on bump, which has two bad effects. Firstly, the protective coating, probably just paint but maybe plastic, will be eroded until steel is exposed, followed by local rusting, stress corrosion cracking and fracture. Secondly, with the very thick spring wire needed to get the correct rate, as has been suggested above, they will close up fully within the necessary travel range and subject the subframes and suspension parts to hard impact loads, well above their design rating, leading to fatigue fracture, or even quicker, plain tensile overload fracture. Additionally, with coilovers, the top mounts, front and rear, are only fit to take damper loads, not combined spring and damper loads. And, the bump stops will take such a hammering that they will fail, possibly followed soon after by the ball joints if they are deflected beyond their working angle.
Basically, as well as ruining the Mini, they are downright dangerous except for very short term track usage. NEVER for high mileage road use.
Because the Mini is what it is, a wonderful and highly desirable little car, it attracts far more than its fair share of utterly unsuitable products from a money-grasping but not technically competent or even honest aftermarket, a lot of whose products are mere "snake oil". Caveat emptor...