||Basically, you just need to adjust the strike to handle the fact that ArcInfo rotates symbols using the Trigonomic reference frame. This system rotates symbols anticlockwise from the East (90degrees is North, 180degrees is West, 360degrees is East)
Another problem is the symbology. Not every symbol works the way you would like them too. Obviously, as you are geological-minded, you will understand the difference between, left hand rule, right hand rule, and dip azimuth. No one formula is perfect for each symbol. There are some exceptions in the geological symbols, the base location of the symbol, is not in the direction you want. There are also some symbols missing (darn!). I think dip-azimuth gives you the best option.
Convert the strike readings to dip azimuth, and thin flip the coordinate system and rotate for the 90 difference in the starting position of each system.
PS. I found sitting down with a stereo net and working out the equations for each quaderant the best. Then I just added a field and calculate the new (corrected for ArcMap) dip-direction.