I don't want technobabble either. But they need to address it a bit just for consistency. Instead of "radiation" being the key to cylon detection, they could have just said: minor chemistry differences, but not easy to do large scale tests with the equipment we have. Say an excess of a specific isotope.
As for the rest of it, when they ask Baltar (or whoever) how they manage to do something...They could answer: I'm not exactly sure...heck I don't have a clue. Do you know how to make a biological machine? I don't either. And leave it at that.
They may throw us a bone though. For example Sharon interfacing with the computer: Baltars response if asked how she did it: Well, nerves are electrical systems, so she must have some organ that converts light to nerve impulses, and vice versa...which isn't hard to imagine, the eye does that one way already. And leave it. Maybe have them do some X-rays of her arm and remind people Baltar isn't a Medical Doctor (he's falling a bit to much into the "omniscient scientist" role IMO).
Technobabble...not really. But something that makes the writers think a bit, and the audience just nod sagely.