Naval and Land AA Guns

I am about to do something one of my game and my air force is not strong enough to stop my enemy's air force so i was planing on build a ton of AA guns and Cruisers to protect my main army and Nukes. but i was also planing to keep the Nukes and main army as far out of range as i could. My question is if i do place AA guns and Cruisers between his Air base and my men (AKA his Target), and his bombers pass over them will they take damage, and if so how many do i need to make this work?

Thanks for any input.