A second radio's feed into a 'Y' cable is seldom going to do much good. As already stated, the potential for a ground loop is one problem with that. Another is that sound card "grounds" are very seldom actually at ground potential, they are almost always above ground by a few volts (they 'float'). Which means that if the sound card's ground is grounded to the computer's chassis, it causes a 'turn off' of the computer (shorts the sound card). That can happen if the computer and radio's are both grounded to the same station ground. One of the things a typical interface does is eliminate that possibility.
If you can disconnect one radio, only connect one at a time, that can get rid of that hum, probably. Why both connected at the same time?
I've got a 'work around' for that multiple sound card thingy, it's a USB sound card. Of course that introduces other complications, another driver for that sound card, and a USB hub (in my case, lot's of USB ports, 128 of them are possible!). Why do it that way? It was cheap, $20 for a sound card, no slot required in the computer. The sound card in the computer only does things for the computer, the external one(s) handle radio stuff. I can't say that's -the- way to do it, it just works out handier/easier for me.
- 'Doc