Most vets hate seeing patches on people not in uniform. Wearing 101st Screaming Eagles patch in some places of the US is likely to get your face re-arranged should you show up here. However, as you're overseas you could likely get away with it. If you must do so, put it an inch down from the top of the left shoulder which signifies being in the unit. As that's something you haven't done, I'm at a loss as to why you'd want to say you were. Putting it on the right shoulder signifies you fought in combat with that unit. Putting the patch there would be the height of disrespect.