I think too many of the responses in this thread privilege the "race" part of the OP's original question, and do not give enough weight to the "all mountain" part. Perhaps that is because the OP has since made comments that make it sound like he doesn't really want an all mountain ski after all.
Chemist, I think your original idea was valid, and that you should think more seriously about a non-race ski. I'm about your size (5' 7", 135lb), so maybe my perspective on this will be useful. (Most people posting on this forum seem to be more in the 170 - 200 range, which I guess is normal, but can skew opinions about how skis feel.) I too like the precision, edge grip, and responsiveness of a carving-specific ski on hard snow. However, I also find that single-purpose carvers - let alone actual race stock race skis - make me unhappy in any kind of 3D snow. At my size, it really doesn't take a lot of stiffness or a lot of quick rebound in a ski to make it become a real handful in bumps, where a damp, soft ski feels ideal to me. Similarly, I find that on a stiff, race-type ski the tips do not bend easily enough when on crud. Instead they just plow through the snow stubbornly in a straight line instead of flexing enough to support a flowy, floaty line. (It's not an issue when I'm locked on edge on hard snow, because there is a much firmer platform pushing back on the tip and tail, allowing the combination of my weight + speed to decamber the ski.)
I solve this problem by using a 2-ski quiver. I'd recommend the same for you. However, if you are definitely sticking with one pair, I'd think you'd want to take a deep, daring breath and demo some boards that are not actually race skis. One that comes obviously to mind - that I have NOT skied, BTW, but have heard only raves about - is the Kastle MX 78. Search this site and you will see what I mean. Lots of people like the Volkl AC series in this vein. I don't, but that's me. I currently use the Blizzard Supersonic for my carving / hard snow ski. Even though it's not wide, soft, or damp enough to satisfy me as an all-mountain ski, it might just be detuned enough compared with a race ski to make you happy as an AM ski, without sacrificing too much in the hypercarving department. It certainly is quick, lively, and grippy. It's also well-liked within (and without) this group, so don't take just my word for it. Another ski I've been on and liked in this category is the Head Supershape Magnum (although it has changed recently and I haven't been on the new one). Others have mentioned the Contact 4x4 and the Progressor 10, which also sound like good bets, though I can't speak first-hand about them, unfortunately. FYI, my softer-snow ski is a Sultan 85. I totally love it, but I agree with the other poster who said that this would probably not satisfy you in the precision department.