I have been watching the first seasons episodes over the last few days. I have to say I had a hard time hanging in but I am now on episode 10 which is about 44 days in. While I definitely would have done things differently and in a different order than these guys did there is a lot of cool stuff.
First off - the professor is amazing. If I'm in a situation like this, I want a guy like him around. He's built a gasifier to run the generator, a device to purify their water without using there shrinking supply of wood, propane and gas.
Mike - though he can be an idiot and is often annoying, he has great mechanical skills.
Joey - first one to be concerned about security even though he was initially ignored, the others came around once they were attacked.
Doc and Nurse - well, it's always good to have a medical professional around but we should all know first aid + to survive.
I think, as the time has progressed it has become more real to them and you can see that in the way they have re-ordered their priorities, putting food, water, and security first.