Seriously, how long do you think you'll manage to behave with the performance Eagle that you've lusted for most of your life? If you don't plan on stomping on it, why bother making it? The project isn't properly finished until the entire drivetrain complements the engine.
The stock axle won't self destruct immediately, but it will be very fragile. I've broken three axles over the years with the stock engine. They are not a Dana35, they are Dana 35 center castings with teensy little axle tubes and tiny little axle shafts with hubs gently splined at the end. Its called an AMC 15. A real Dana 35 has considerably thicker axle tubes and one piece axle shafts. When the axle tube is thin, it puts much more stress on the axle. All of mine broke because my family consistantly put the weight of the vehicle on to two tires, which bends the axle at the same time it has torque applied. They do not forgive that treatment.
I wouldn't worry too much about the front axle. An Independent Front Suspension is inherently a full floating axle, where the axle only has torsion stress but no shear stress applied. It will outlast most rear axles because of the torque split at the transfer case (Most have a torque bias to the rear axle) and because the flanged rear axles bear vehicle weight as well as suffer the torque of the engine.
In my case I plan on towing with it. The increased engine torque along with the increased weight on the axle is a deadly combination. I cannot afford to keep the stock axle even if I am gentle with it.
-The stock AMC 15 is poor. It's a great match to an Iron Duke 4 cylinder with 80 HP.
-An XJ axle, Dana 35 or Chysler 8.25, is good. It's a great match for a 258 at 115 HP, and an okay match to the 4.0.
-A Ford Explorer axle is better than a Dana 35 but not quite as good as a Dana 44.
-A Dana44 from a Cherokee or Commanche is great. It's a great match to a 4.0 at 190 HP and a good match to a stock 360.
-A modified Dana 44 from a Scout or J10 truck is slightly better than the XJ or MJ Dana 44, but much harder to fit under an Eagle.
-A flanged semi floating 5 lug Dana 60 from a J10 truck is great. It's the axle going behind my AMC 401 at 435 HP. I will also be upgrading the front axle on that SX4 in the near future.
-A full floating 6 lug Dana 60 from a J20 truck is overkill. It's too heavy and only worthwhile if you're going to tow a larger amount than is legally allowed with an Eagle.