I agree with most of the points put forward here.
1st off, Mike is an epic douche. He doesn't like the others, he doesn't get along well with people as a whole and he's belligerent at the best of times. He did get a bit better after having a sleep, though.
The other engineer who was helping him rig up the batteries could probably do a lot of what he has done. The mexican bloke who was also a handy man (and I think was the prime mover behind moving the water filter up next to the stairs) seemed to have his head screwed on right as well.
The old guy, I can't remember his name - the one behind the gasifier and who went and had a shower in the rain - seemed to be doing an ok job of getting people at least some what motivated towards a task.
Solar panels aside, I do like the idea of the bike-powered generators. Everyone using the power tools was not a good one - I do like that they are all gathered around a blackboard discussing things, though no doubt that's a prompt from the studio.
The doctor cutting up the tire to make shoes?

I don't think their shoes were that ruined. He clearly had no idea how to use the sawzall and hadn't planned anything ahead.
As to looting from those other survivors? I'd have a massive damn problem with that. I'd go so far as to physically stop them from taking their goat and apologising to the people we stole from.
As to the security - 2 people, minimum. Always 2. Stagger the pickets - that way you don't have a gap of 10 minutes or whatever with no security present when the person goes to wake up the next in line.
Also - make the response commesurate to the threat. If you wake everyone up everytime someone rattles the cage, no one is getting any sleep. By all means, get everyone up if it warrants it, but not for every little thing.
Bureaucracy destroys initiative. There is little that bureaucrats hate more than innovation, especially innovation that produces better results than the old routines. Improvements always make those at the top of the heap look inept. Who enjoys appearing inept? ~A Guide to Trial and Error in Government, Bene Gesserit Archive