Quote, "I am not looking for evaluation on the support and structural integrity situation, just remedy for the above listed issue."
Sorry, whatever the realm of viable solutions are, it is clear to me that the solutions exist within the structural context. Be wary of simple forcing the bottom of the post over the needed inches because the post becomes a honking big pry against upper joints. Generally, moving any portion of one member can have a number of effects regarding other members, so the upper level joinery needs to be fitted to the change of position of the post.
Quote, "The engineer and the contractor do not have good suggestions how to make this column perpendicular to the floor."
Do you have a full understanding of the advice you are receiving or what would be "good suggestions"?
