Post War Unit Transfer Help and Opinions

I've been trying to piece together my grandfather's war service history for several months now. This picture perplexes me. I know my grandfather served with the 85th Division, 338th Infantry Cannon Company throughout the entire war. However, this photo taken in theater shows him wearing an 88th Division patch. Does anybody know why? This is the photo that appeared in the local paper when he returned from overseas so I assume it was taken at the end of the war. My thoughts are that he may have been briefly transferred to the 88th Division when the war ended. I base this in large part on this information I found on the Custermen website. Opinions are sought and welcome so please help me out.

"According to plans being followed out under the Redeployment Program only those members of the Division eligible for discharge under the newly established point system were to return to the States with the Division. The others were to be transferred to other units in the Mediterranean Theater. The Division was furthermore to be replenished with members of other units eligible for discharge. As a result, the Division on its return to the United States would include a comparatively small number of men who had come with it to Italy. In the early part of July the Division moved to the Volturno Redeployment Training Area, near Caserta, where redeployment was to be completed, prior to moving to the Staging Area."

 

I don't think it was uncommon for people to be re-assigned to another Division to bring a Division up to strength. I would assume that those without enough 'points' to rotate home may have been transferred to the 88th when the 85th came back to the US for demobilization and the 88th stayed in Italy.

I wouldn't get too worked up over it as more often than not the simple answer is the most likely.

 

As you know I'm putting together a jacket to honor my grandfather's service. I'm wondering now if I should put an 88th patch on the left shoulder and an 85th on the right. Based upon what I've learned here that would be appropriate.

http://www.ww2f.com/uniforms-personal-gear-kit-accessories/47920-us-army-coat-display-project.html

 

I think that would be very appropriate as the 85th would represent his 'combat' patch.

 

Thanks, I appreciate the help you've given me with all my silly questions.