Wiring my strobe lights into my fog lights

I have an aftermarket set up fog lights on my front bumper. They are wired to a 3 prong switch. Red wire is hooked up to my +12V wire on my CD player(with a in-line fuse), white wire is from fog lights to middle prong, and last prong is connected to a ground.

I recently bought these off ebay-
http://cgi.ebay.com/ebaymotors/POLICE-COPS-LIGHTS-RACING-FLASHER-MIRAGE-LANCER-EVO-8_W0QQitemZ7996620687QQcategoryZ42613QQrdZ1QQcmdZV iewItem
(You can see the wiring diagram near the bottom of the picture.

My question is: How can I hook these up to my fog lights so that my fog lights can be on and not flashing while driving, and while I'm sitting there I can flick a switch and turn on the strobe function?

The module has 3 wires:red, for power; green, for strobe action; and black, for ground.

I was thinking I could wire the green from the module to the middle of my white fog light wire, my red to a power source, and black to a ground. Then when I just wanted the lights on I could flip my fog light switch and turn them on. Then when I wanted the strobes on I could turn off that switch and turn on my strobe switch. Does that seem like it would work?
Thanks in advance for any help.