Shatter the Sky
Tychus and Warfield have different strategies about lowering the Zerg forces. Tychus wants to go underground and eliminate the Nydus worms, while Warfield suggests heading into space to stop the Zerg air units. Shatter the Sky is the resulting mission of agreeing with Warfield.
Set up your basic base defense bunkers and supply depots to guard against Zerg attacks. Missile turrets will also be handy for taking out the numerous flying units. You'll want to slowly inch south and set up a new command center at the resource patch, along with bunker and siege tank defenses. Vikings, banshees and thors are a good army set up, with the basic marines and medics making a good extra support. Also consider battlecruisers and their Yamato cannons for heavy firepower.
Once you built up around 80 units, proceed to platforms and destroy the Zerg guards. Their mutalisks and brood lords will be little resistance to a strong anti-air force. When ready destroy the platforms themselves. You only have a short amount of time to move your forces off the platform, or they will be obliterated along with the Zerg. Set up new command centers to gather any minerals and gas the Zerg may have missed.
Eventually, the Zerg will release the leviathan, a huge air unit that can release brood lords. Get every single one of your battlecruisers and vikings on it and kill it off before it can reek havoc on your army. The Yamato cannon is your best bet for eliminating this immense threat. After the leviathan is down, it's simply a matter of destroying the final two platforms. Rebuild with more air units and clean up the rest of the level.
