Finally got a chance to play the new version properly. Fantastic fun, with enormously silly characters. I love the Dalek, and I still can't believe Mr T is in there, and I made him.
Skimming through the previous comments, I agree that it's not too hard to take Zombie buildings once you've got your main characters upgraded a bit. The awesome bombard abilities of some of them, especially King Arthur, the Dalek, and any Champions that have turned up, makes slaughtering Sated Alphas enjoyably simple. I took the Hospital first (before everyone upgraded) and then, later, took the Graveyard with difficulty; then I grabbed the Paradise Resort and the Church without any problems at all. The Zombies are not yet fielding their uber-units - no monsters, and I've seen only a couple of enormous spiders - so perhaps it will get much harder soon.
I find that the income level is too high; I'm generating a lot of money every turn even with the science slider set to 13 turns for each tech. Rather than fiddle with tech costs, it might be an idea to reduce the amount of income, either by altering the Survivors' government or by reducing the amount of trade produced by the various tiles. Also, the drop crate thingies are over-valued by the AI. You can buy pretty much anything you want by offering just one of them. I think if their shield cost is reduced, this will be less problematic.