Ok, let me in on the secret, if I can get a pump that does that, I'm in! What kind, where did you get it etc.? Even the ARB's and ViAirs don't seem to put out that much air!
York long stroke and hand throttle. Home made bracket. Yes, it is easier on my old, simple truck than a modern Jeep, but anything can be done.
Axle strength - good point... get that much more traction and there could be problems. I wouldn't go so far as to say cannot.. I've seen some pretty torn up frozen ground, albeit by more than a few Jeeps toodling around. The heavy chains is a good point too... doesn't take much to do some serious damage with chains. (Excuse for opening up the wheel wells and going to bigger tires??)
You should only use them when the ground is fully frozen and covered in a proper layer of ice and snow. If you can see dirt, leave them off.
So in the thread of the post, you say run what you would run in summer, siped for icy road conditions and have chains for the offroading?
Personally I run SSRs in the summer. I use narrower TrXus in the winter. The narrower tires are better on road in the snow and allow chain clearance with my setup. The SSRs are too wide to fit chains. Note I don't drive a Jeep, so my clearance issues are not yours.
Chains can be a double edged knife, there are many times I've put chains back on just to tkae them back off 20min later. The problem is in deep snow you are better off floating on top as opposed to putting chans on and digging down deep enough to high center yourself.
With my rig anyway, there is no way I could ever float. If you are light enough, with big enough tires, it can be true. Personally, I put them on at the trail head and take them off at the end of the day. If the day does not call for them, leave them off.