Yeah, I won! Everything went as it should have. I captured the Cinema and the Armoury. Then the Airport. I moved my heroes still alive (Flamin Hero, Mr and Ms Tokugawa, Timmy and the old Abes) to the Airport (I know, it could have moved the copter, but I was a little roleplaying

) and dropped them in mainland.
During the last turns, I have finaly seen some Company and Authority units ! A tank was crushing undead near City Car Park and simili-SWAT were fighting near the Cinema. Since the security boys were killed back at the Dog Pound, the only non-survivors units I saw were zombies and occasionally a farmer's boy

I never saw the Monster Zombie.
Spacer One, my tactics were very simple. I took the Graveyard out very quickly so I saw very few Swarm units. I took the Hospital as soon as the Authority lost it. No nurse (I didn't know the zombie could build them but I wanted the hospital for myself). When I saw the Dog Pound fell, I retook it. No dogs. Looking at the civilopedia, I saw the Bat-thing at the Church so I captured it before the undead could build any of them. You can see the Zombies haven't got the chance to use their special wonders.
When I attacked, I generaly used one small army. First, it was Mr Tokugawa, the Hero and 3 or 4 old vets. Soon I replaced the old vets by more badass and add some Chainsaw Maniacs. I finally get up two 'small army', one with Ms Tokugawa. So I could capture locations on two fronts. When an attack was successfull and I captured a location, I consolidate it by moving or building a few badass with one chainsaw. Then I repaired my army and moved it to next goal.
I took every chance I had to weaken zombis armies. When the Zombies were attacking the Hospital and the Dog Pound, still owned by Authority and Compagny, they moved their units around the Garage. When there was a group of two or more zombi units, I attacked them with a high attack unit (Chainsaw maniac back then). A lot of zombies died that way.
And during the whole game, I provided the Authority, the Company and even sometimes the Farm with resources (Ammo, Dog). I don't know if it was useful.