Update: Decided to upgrade to Group N transmission mount for added performance and also to see if this would fix the wobble feeling. After installing the mount there was still a slight wobble but less than before and mostly in first gear. Seems like the mount helped a little but did not completely alleviate the issue. I also decided to install the driver side axle and did not notice any ill effects from that axle so seems like the issue is isolated to only the passenger side axle.