You had me until you said full size axles... If you have to outboard a 7 which is like idk a foot wider your going to have to hack them in a 3. 37's will probably make you taller than you are wide to.
IMO 4 banger stock axles and 33's would be a lot more fun.
I am getting rid of the stock axles for two reasons, and its not without thought... First off, the drop is on the wrong side for the front axle, so thats the problem there. I planned on keeping the rear initially, but as you said any front axle I get is going to be much wider than the stockers, and even 33's might have clearance issues at full stuff with that narrow an axle. As we know the spline count on the originals is not fantastic, among other things, but I think they would have held up to 33's for my style of wheeling. The reason for the 37's is simple... I have them, and I kind of want them off of my F150. Realistically a truck is more useful on the 33's I took off of it. It does sort of pain me to get rid of the original axles, but as I said before, I would like this build to be entirely reliable and useful for many applications, including street driving, so with the extra 10 inches or so of width it should be much safer.
Now as far as it being taller than it is wide, that is really a concern of mine, since I hate the way Jeeps look when they are lifted to the sky for no purpose, but I am going to try to keep that look to a minimum with the stretch I want to do so it won't look so un-proportional. The other issue I have when I see willys builds is the cage (who agrees?). I hate how tall they make it look, I'm not sure if those guys are really tall or what, but I am not, so I want to drop the seat position a hair and make a lower cage, still with safe head clearance however...