First I'll echo Doug Ritter's comment comment from his Gear recommendations:

"To the horror of many old time traditional outdoorsmen, I tend to avoid recommending hatchets and axes. It is so easy to seriously injure or cripple yourself using these tools that the risks outweigh the benefits, in my opinion. This is especially a problem if you are tired, cold or otherwise not in particularly great shape, not an unlikely possibility for any survivor. An axe or hatchet is not very forgiving of poor or sloppy technique, as many a person, experienced and not, has learned the hard and painful way. For the inexperienced survivor there isn't the time to learn how to safely use these tools, which have been known to bite even those with plenty of years handling them. A saw is simply safer."

Second, I tend to prefer simple more than complex. While certainly survival gear that provides multi-purpose functionality is a great thing (think bandana), when the complexity gets in the way of the original purpose, then the benefit starts to be reduced.

If you need to pry and pull nails, I'd you carry a ripping bar. Since my survival focus is on the outdoors nails aren't really in the picture. I'd focus more on carrying a good knife and a small saw - such as the Pocket Chain Saw.

Lately I've been noticing that my axe has mostly getting used for splitting wood, so I've started carrying a small "kindling" maul rather than an axe (except for the one carried to train Scouts), but I don't count that as a survival item.