Distributor hits Intake Manifold

The distributor is driven by a slot. Either it's in right or 180* out. He will have to reclock the intermediate shaft to do what you are talking about. If it was mine, I would just move the wires one spot around on the cap and be done with it.

Yep, just move them all one tower counter clockwise.
Pull one and pull the one counter clockwise to it and put the first one in the hole you pullled the second one out of.
Keep doing that until you get all of them moved.
It literally only takes about a minute.