Idk if the trans bushings should be giving. I knw my trans mount is bad that I can literally get under my jeep, grab the tail shaft, and move the transmission side to side. This also explains why upon take off my yj would shutter alittle. If ujoints are possibly failing might want to address that soon . My ujoint that connects shaft to rear axle pinion went bad and I waited too long to replace it. The result was during my 40 mile commute to work around 3:50am my ujoints finally failed which caused my driveshaft to fall out in middle of pitch black nowhere on hwy. Yes I was stranded. My yj is auto too.
"Its a Jeeps World, other 4x4s just get stuck in it."