Okay, it's "embarrasing true confessions" time...
I ran the voltmeter on the stereo, got about 6 volts output. Tried the PC amp outputs, got nothing...Decided that the PC speaker system had probably died. To make sure, I pulled it all out and took it over to another PC.
Surprise, the PC amp worked fine -- in fact, everything worked fine, including the car speakers!
Okay, now I'm thinking that I've somehow blown the onboard audio chip on my motherboard. I go back and check the volume settings, just to be sure.
Everything looks good, all the sliders are at reasonable levels, and...wait, what's that little checkbox? "Mute All"? Why is that checked? Aw, &*#$!
Bottom line is that everything is working great now, except possibly for my apparently malfunctioning wetware that caused this whole screwup to begin with!
Thanks for the help, though!

Kevin