Send everything forward the first turn, but keep one range away from his Fighters. Use your Fighters to deal with them and then your Battle Copters to take out the enemy ones.
After the first wave the second one should be almost there, use your Fighters to take out theirs and don't worry about them taking damage since there won't be any more enemy air units. The best use for Fighters after that is as bait for Cruisers or to distract the enemy.
After that just push checking the cannon ranges and you should be fine. Bombers take them out fairly quickly, even injured ones. If you focus the rockets and the cannons from the side/behind the mission will be very straightforward. Remember that Bombers have the advantage if they attack an Anti-Air first.
If you want to wait for the Super Power, Bombing the enemy twice in a turn is devastating.