Can you beat EVERY MISSION on Brutal difficulty without building a single unit?

Watch part 1 here:    • Can you beat StarCraft 2's Brutal dif...  
In part 2 of this challenge run of StarCraft II: Wings of Liberty, we ask and answer one simple question: Can you beat every single mission on the highest "Brutal" difficulty without creating a single new unit?

StarCraft II: Wings of Liberty is a 2010 science fiction real-time strategy video game by Blizzard Entertainment. It is a sequel to the 1998 StarCraft and the Brood War expansion pack, and was followed by the Heart of the Swarm and Legacy of the Void expansions. It follows the story of rebel Jim Raynor on his mission to confront Kerrigan, the Queen of Blades and leader of the Zerg swarm.

Missions:
0:00 The Evacuation
5:42 Outbreak
8:51 Safe Haven
15:33 Haven's Fall
23:15 Breakout
23:46 Media Blitz
30:16 Piercing the Shroud
38:32 In Utter Darkness
56:00 Shatter the Sky
1:05:02 All In (Ground)