Yeah, range anxiety is a real thing. But there's a huge difference between a 50 mile range and a 300 mile range. 50 miles is barely enough for most ordinary daily driving; 300 is more than enough in all but pretty unusual cases. But I'll grant that "overland" off-roading might be one of those cases. Taking everything into account (see previous posts) I think the range of an EVJeep won't be all that different from a JLU. BUT, a JL can relatively easily carry a bunch of extra gas. For a really long expedition that could be a big deal. That's not the kind of wheeling I do but for those that do maybe some sort of range extender might make sense. But in any case, no vehicle has an infinite range. Long overland trips will require some extra planning no matter which energy source you're using. So for EVs it's not so much range anxiety as it is a need for a slightly different kind of planning.
If that was all there was to it, then there wouldn't be much point in going to electric drive. But there are, I believe, huge advantages to electric drive for off-roading. See previous posts. But NFRs2000NYC brings up an interesting point: all the EV torque might break something. Here I hope some of you out there with more mechanical expertise can chime in. But my limited experience says that the things that break most often are U-joints (and their kin) and differential gears. Hence my suggestion of one motor per wheel, ideally with the motor built directly into the wheel itself (so called wheel-motors). That way there are no U-joints, no differentials, no lockers to break (the locker function can be done with software). The only things connecting the motor to the frame would be a wire and a cooling line. You could do torque-steering, too, greatly reducing the vehicle's turning circle. The downside is increased unsprung weight. That's probably a killer for a street car but with the heavy wheels and tires we like on Jeeps maybe an extra 50 lbs for a motor would be OK?
(The rear motor in my older Tesla puts out 350 hp and weighs about 70 lbs. The front motor is smaller. Tesla's newer motors are slightly more efficient. So I'm guessing that in an EVJeep with 4 150 hp motors they could probably be less than 50 lbs each.)