The bias valve on the rear subframe could be replaced with an adjustable valve of the same fitting.
There is an adjustable version of THIS , but I can't find it ATM. I know I've got one in the garage. Not sure if the adjustable one is a Cooper S fitment or what.
But, you need to consider the hydraulic system as a whole. The bore of the master cylinder is (I think) different on the Cooper an 1275GTs that were fitted with front discs. The rear wheel cylinders were also different bore on some.
You can change your rear braking effort just by using larger or smaller bore cylinders. I struggled to get mine right when using a bias bar pedal box and Minisport 4 pots and standard rear cylinders.
I'd agree with CM, and say talk to KAD and see what they recommend for your system.