It will not be 19mm, I think, but it could be 3/4" (19.05mm), which is very close. But even if they were making replacement cylinders in metric dimensions now, it would be close enough to not have any tangible effect.
When you apply the brakes HARD, does the pedal stop well off the floor, or is it bottoming out before you get full braking. If it stops well clear of the floor, your hydraulics can be more or less eliminated as the cause of the problem, and it is down to the friction surfaces themselves. If it goes right down, there is still air, or the pipes and hoses are flexing under pressure. (You didn't use copper,I hope? Cunifer will be fine, or steel, and almost everyone agrees that Goodridge flexibles are best.) Or, just maybe, the calipers are spreading under pressure. (My old Triumph Herald had very sharp brakes, discs at front and no servo, but if you pressed VERY hard, way beyond the point of wheel locking, a level of force that only a strong person would achieve, you could force the pedal to the floor, and it was due to elastic deformation of the calipers and maybe the rear drums too. I only found that out when testing the overhauled hydraulic system for leaks, under extreme pressure.)
None of this "should" be a problem of course, using parts that were intended to work together in a standard Mini configuration. The calipers should not be spreading, for example, but I am just putting those thoughts forward because you seem to have checked all the obvious things already.
Edited by tiger99, 26 March 2014 - 01:53 PM.