However, after searching the internet I was unable to find a complete compendium of positions, and searched through threads and google for the people responsible. So far I have
Blizzard President & Co-Founder - Mike Morhaime
Blizzard Vice-President & Co-Founder - Frank Pearce
Chief Operating Officer - Paul Sims
Vice President of Creative Development - Chris Metzen
Role on SC:BW: lead design, story, script, voice production, direction and casting, scenario design, manual design and layout, manual artwork, "Strike Team"
Director of Communications & Community, Europe - Julia Gastaldi
Lead Designer - Dustin Browder Dustin Browder (Red Alert 2 Era)
He has worked in the video game industry since 1995 at a variety of companies, including Activision, Electronic Arts, and Simon & Schuster Interactive. He has experience in developing real-time strategy games, most notably as Lead Designer for Command & Conquer: Red Alert 2 and Command & Conquer: Generals, and as Game Design Director for The Lord of the Rings: The Battle for Middle-Earth series.
Senior VP of Game Design - Rob Pardo
Previously he was the lead designer of World of Warcraft. In 2006, he was named by Time Magazine as one of the 100 most influential people in the world.
Lead Technical Artist - Rob McNaughton
Lead Producer - Chris Sigaty
Held the position of Quality Assurance Manager during Brood War development.
Lead Writer - Andy Chambers *Seen here congratulating the winner of 40k at KublaCon
Andy Chambers is an author and game designer, best known for his work for Games Workshop. He worked extensively on various Warhammer 40,000 rulebooks and sourcebooks, and also authored at least one fiction novel set in the same universe. 
In 2003 Chambers joined Mongoose Publishing as the lead designer of the company's development team for the Starship Troopers tabletop miniatures game.
Chambers is currently the Creative Director of Blizzard Entertainment, working on Starcraft II. 
Art Director - Sam Didier
Working with Blizzard from the beginning, he started out as an art director for Lost Vikings 2 in 1994 while proving his talent and working on every major blizzard project from Diablo to Lost Vikings to currently StarCraft 2.
Map Editor Designer - Brett Wood
Balance Designer - David Kim
A little more information about David Kim for you folks:
David Kim is korean, born in korea, and moved here to go to school. He was a competitive SC player back in the day, playing with CuteBoy[gm] as well as ZeuS. His favourite sport to watch on TV is Starcraft. He switched to Warcraft3 when war3 came out, but SC was still his favourite RTS (and is to this day).
I worked with Dayvie for over a year. Out of everyone i've had the pleasure of working with in the Game Industry, i feel he is the most qualified to handle SC2 balance. (other than me of course. lol)
I'm confident he'll do a great job.
edit - oh right, i think he also placed in the top 8 for Korea WCG qualifications in 2000. i think.
Community Map Maker - Brett Woods
RTS Community Manager - 'Karune'
Blizzard Poster - 'Cavez' (Dustin Browder) Dustin Browder (Red Alert 2 Era)
Please feel free to add to this list if you find anymore positions!
All names are hyper linked to their portrait.