it depends on year of gsxr the 85 -91[every where but us 92 for usa] were air/oil cooled and so are all the katana's. the gsxrs were more for all out topend power and the katana has more low midrange...
they should but i am not positive. i am currently in the process of changing a 93 gsx750f into a gsxr1000r so far the engin bolts up good and the fairings are mountable.
Contrary to what the speedometer might say (and GSXR 750 owners), a 2008 GSXR does not have the displacement to reach 180mph. A road test conducted in Germany had a rider reach 181mph - or what said...