Hey all...this is the guy who started this post back in May 2010. I tried switching out the just cable with someone else's cable who had the same computer, but no luck. I ended up buying a new LCD screen on ebay (LG LP133WX3 TL A2 A4 MACBOOK PRO 13.3" LED LCD was what it was listed as). Long story short, I followed the ifixit guide to remove the glass, replaced the LCD screen with the one from ebay, it it works fine now. The screen itself was $110, plus the heat gun and new adhesive to put the glass back on ended up being about $150. I've had the new screen for over a year now and can't tell any difference from the original screen. The repair was somewhat difficult...the biggest hazard being removing the glass screen without breaking it.
So, if the description of the problem I had in the original post seems to match yours, it is likely the entire screen that needs to be replaced :-( Wish I could say it was just the cable....but replacing it didn't help in my case.
Hope this helps,
-Patrick