The REAL short hub (K0 only) uses 6/6 plates, the K1-K6 use 6/7 plates (7 fiber). The later, longer ones use 7 friction plates also, but have the double-steel sprung plate in the stack, making it all taller.
The K2 should have 6 steel, 7 friction unless, like mine, it was a reworked K1 engine that ended up in a K2 frame (from Honda!). So, in a word, the K2 might have 6, or 7 friction plates. The first thing, though, that you need to check is: the thickness of the cork plates that you have there. They should be 0.140" thick when new, 0.128" totally worn out. Here's the catch: we are getting the superbike plates that are 0.128: thick brand-new from some vendors. If that happens, the clutch won't work. You need the right ones, and you can get them at PartsNmore: their #39-1052 is correct.
Here's another important thing: DO NOT use longer springs in this clutch or you WILL break the pressure plate or the lifter, or both. Use the regular springs.
When you have the right stack-up of plate thicknesses, the top aluminum plate will be slightly below the tips of the fingers of the clutch basket (less than 1mm is normal).