How do I get the LEDs to fire the same as in the game?
Disclaimer: I have no idea how to write the actual code described below.
Consider using an AHK script like the one Le Chuck used in Darkade for auto-switching Tron between 4-way and 8-way depending on whether you are on a 4-way level (light cycles) or an 8-way level. (MCP)
In a nutshell AHK monitors a specific part of each video frame looking for an indication of which level you select and sets the 4-way/8-way servo stick accordingly.
For your application, you need to monitor 4 patches (red, yellow, blue, and green) of each video frame and when that color flashes brighter on the screen, have AHK trigger a relay that switches on the LED strip.
You might be able to get away with monitoring only 2 patches (red/blue and yellow/green) and doing two comparisons per patch.
Scott