I'm going to be getting a 360 soon, and in preparation I picked up a few games. Doom 3 Limited Collector's Edition is one of them. The backwards compatibility list shows Doom 3 is on combatible, but is the Limityed Collector's Edition too? Any help?

Yes its the same game. Its no different then Halo 2 and Halo 2 collectors edition. So if its on the BC list then it will work on your 360(with hard drive).

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A man who controls Fate, is still bound by it

I was just wondering because it has extra content on it and that might affect coding or something in the emulation.

Doom 3 Limited Edition plays fantastic!  All the extra features play fine.  Doom 1 & 2 play great too.  Although it's worth your money to still download Doom from Xbox Live Arcade at 400 pts. cuz, it is much better and in  a higher resolution, also the controls feel tighter.  Hope this helps.