Small correction : it is https://www.cmsnl.com/ ( Consolidated Motor Spares )
I have Slinky glide cables on another project : Clutch is smooth, and the push / pull is very light on the throttle ( http://slinky-glide.co.uk/ to be purchased via Wemoto.com )
but.... they don't list "yours" as standard.
http://www.wemoto.com/bikes/suzuki/gsx_1100_efe_eff_efg_ese/84-86/#cables
They can probably match the old one