Is your Hotchkis bar the "early" version that drops to a shallow "V" in the center under the differential case?
Yes, there is some interference with the TA cover, if so. You can massage the TA case--its aluminum, fairly soft, and thick enough right there that some filing/grinding won't compromise its strength or integrity.
You could also space the Hotchkis bar down a little with some large/thick washers.
Finally, talk to Hotchkis and see if they will exchange the old bar for the new design, which has plenty of clearance since it is similar in shape to the OE rear bar. The old Hotchkis bar--V-design--is the one that had the inclination to break.