Give the singing section a break, i too did have banter with one unnamed individual regarding lack of noise(Julie) but to be fair The Rangers game was always gonna be a hard one to make any inroads into home crowd atmosphere, they all probably made more noise than we credit them for but were always going to be drowned out by the Gers fans on the day. My advice would be for all you singing section guys to try and strike up banter between yourselves and a section in the North stand.
How about starting with a chant between two sections Charlie Christies Blue & Red army, so the singing section start by chanting said chant whilst pointing at the North stand section, who in return reply with same chant whilst pointing at singing section, down at Bristol Rovers they do this and it really gets going each section trying to out do the other, this also leads on to variations in chant.
By the way my 7 year old daughter has been singing a Caley song for the past week, that she made up which in all fairness it ain't bad have to get her to write the words down on here...