Red leads are the early type, they changed to black leads at some point, I can't remember the physical difference, I replaced mine with Magnecor leads, but they didnt seem to make much difference in setup
If turning the intercom off made a big change perhaps looking at shielded cables between Radio and intercom might be worth a try.(only ground the shield at one end of the lead.)
I seem to remember Icom handheld radios having a noise suppression setting, I guess you've tried that (if it still exists on the modern models)