vibration and roar

I have just found the cause of a bad vibration in a 2004 mustang and would like to share the cause in case any of you have it. Mine was wrecked and supposedly straightened. It was hard to see but the engine was positioned to the left slightly which kicked the trans tailshaft to the right a few degrees. This will not work!! The trans and differential must be exactactly parrallel. The differential is positioned at 90 degrees left and right and the transmission must be also. Once corrected, vibration gone. The same is the case for up and down. If the trans is angled down 1 degree then the differential must be angled up 1 degree. As the rear end goes up and down it is still aligned. I hope this helps. It gave me a fit.