The press will definately help . You may need the master adapter set that harbor freight has if the adapters in your set don't work with the bushing size . I'm sure you had the axle at its lowest point so tool clearance shouldn't be an issue but please do keep this in mind . Knowing you've used it to press ball joints will give you the insight in terms of the clearance the tool commands . Just like ball joints , rap on the differential " ears " when you got the pressure and they'll eventually give up the fight. If using the press presents a problem , you can drill out the rubber to weaken the steel sleeve pressed into the differential ears and cave in the sleeves with a chisel and sledge from the sides to loosen their grip. Folks have used propane torches to melt the rubber away in place of drilling but I don't think you will particularly care for this method even if the axle were out of the jeep. That can present obvious problem , and more cussing . Hope this helps and wishing you best of luck on this job . I'm sure you'll do well. Knowing you've got the C press and/or a trusty drill , your well armed for the fight .
p.s. - plenty of pb blaster where the bushing sleeves press into the axle ears since half the battle is the corrosion that helps hold them into place and not come out quietly . If you opt to drill the rubber , you can soak the rubber with the penetrating oil as you go to keep the smoke at bey and the drill bit from seizing into the rubber . Grease may work too.