MTIITB - My Team Is In The Bunker
First off, I'm out. I have no skills to bring to the table that would help in this scenario. Not that I don't have skills, I do, but for the sake of humanity I'll take the hit. So, as much as I love me some me - I can't see including me. Sigh.
Under this scenario - here's My Starting Five...
Warison - dude is militant. He'll protect the collective, because you know there's gonna be some zombie ass C-$ types roaming the post-apocalyptic tundra. Also an outdoorsy type, so good for hunting / gathering. Bit of a risk, because his abuse of a wah-wah pedal might grow wearisome after a week, much less three years, but Warison is on my team nonetheless.
McHoop - he can flat out garden, me thinks. Plus, I heard from a friend of a friend of a friend, who know's a dude, that says he can grow a bit of herb to help with migraines and other maladies - plus, five females all cycling at the same time? They are going to need some chilling out, so to speak. Plus - he would be the keeper of the tunes - he has great taste in music, and I would do everything in my power to ensure that good music endures. Hence, I'm eliminating C-$ as a matter of course.
NickStromboli - can handle a shotgun. Grew up on a farm - knows how to plant and harvest. Also, game will be plentiful, so a guy who can shoot would be good. And - although I'm agnostic, I'm including Nick because he advocates his faith in a way that would be good for humanity.
TMP - as much as I like to flame him, I think in this scenario, you need a builder. He can make things work - he's the bunker's version of MacGuyver. Just give him a paper clip and a wah wah pedal, and he could make ????? (Someone had to take the damn thing away from Warison - he was flat out awful on it!) Plus, he can play music (or so he says....). And garden (or so he says...) And paint figurines (or so he says)....He could also be the counter-force to Nick's pro-deity force - need balance in the collective. Plus, he brings in the mexi-asian gene pool? Or is it Korean-Germanic? I can't keep his excellent genes in order. Good to be diverse!
Goat - need someone who can document this trainwreck, and arbitrate the ultimate squabbles that will arise. He is the collective's Maester / Historian. There is no room for a doctor, as there is no insurance in this world. Added bonus - has culinary ability, and also skills mixing drinks, which is nice. But more importantly, Goat likes hockey. Hockey needs to be preserved.
I fear for humanity if this would ever prove true, but it would make for a great novel.