Please please please don't look into that faint red light.
Green lasers that are used in devices today are never just a green diode (unless you're paying >$5k). They use a system called DPSS, diode pumped solid state; what this means is that there's a high power infrared diode in there lasing at 808nm that "pumps" or stimulates other crystals in the module that eventually, through a complex process of re-emission of light and frequency doubling, comes out at 532nm, which we see as a nice emerald green.
What's happened is that those crystals have come out of alignment (in any axis, even rotation will stop any emission of light) and you're looking into the pump diode.
I'm sorry to say, there's nothing you can do for the module now, there's no way to realign the crystals.
I'm not understanding what you're talking about with the actual signal going into the module, but I'll just say it'll be difficult to make it work with any replacement module you buy, unless it's from the manufacturer (but they'll charge you a ridiculous price). Modules that can be purchased generally use a simple switcher; which don't respond well to the AC input signals you're referring to.
Good luck with it! Sorry I can't help much with the electronics, but feel free to ask anymore laser related questions.
aXit.