I don't think it will work very well. That kind of pickup really needs to be attached directly to the bridge for it to sense the vibrations enough to turn them into a usable signal. If you read the description on the L.R. Baggs page, it says it's mounted directly to the bridge plate, which is probably the most active part of an acoustic guitar's top.
I doubt the body of a solid-body guitar would vibrate enough for that kind of pickup to sense very much in the way of string vibrations.
It would probably pick up more bumps, knocks and squeaks from your physical interaction with the guitar than it would pick up vibration from the strings.
There are bridge pickup systems out there for electric guitars, from L.R. Baggs, Fishman, Shadow and GraphTech (among others).