Are you stationary, or on the move?
I've always started from the assumption that any teotwawki event may require mobility.
That means equipment must serve as many functions as possible.
That's why the sword and morning star etc. were immediately eliminated.
The parang serves a similar function...but can also be used to construct deadfall traps, baton kindling, chop saplings, clear or cut trails, etc.
Coldsteel Kukri vs Gerber Bear Grylls Parang, Review and Field Test - YouTube
Everything depends on the scenario. I am too old to do the ground trek though in that situation my primary weapon would have been a Ruger 10/22, backup a Colt Delta Elite 10mm, and my Bagwell bowie as primary knife.
In a vehicular situation that all changes. Now it's my HK G3, the same pistol and knife combo but adding a lot more ammo.
But even that is becoming a less likely situation for me. Now I'm a "stay at home" so we are very well prepared here.
The SHTF vehicle, fodder for another thread.
Wellllll, this is my dream SHTF vehicle.... The reality is far, far different!

[ame=http://www.youtube.com/watch?v=cDoRmT0iRic]The Marauder - South Africa's Ten Ton Military Vehicle - Top Gear - BBC - YouTube[/ame]