Well, he probably grabbed the pic from their website and posted it, I'd surmise.
I cheated and followed the pic address back to it, myself.
The patch gave it away.

http://www.182ndinfantry.org/history/
http://en.wikipedia.org/wiki/Americal_Division
I followed them back a little farther 370 years
"The 182nd Infantry Regiment is the oldest combat regiment in the United States Army. The regiment traces its history more than 370 years, when it was a colonial regiment of foot of the British Crown in Massachusetts. It later served in the Continental Army during the American Revolution, with Union forces in the American Civil War, and as a federalized Massachusetts National Guard regiment with the U.S. Army during World War I and World War II. For many years the regiment was a mechanized unit, and in 2006 the regiment was converted into the 182nd Cavalry Regiment, headquartered at Melrose Armory in Melrose, Massachusetts. The only active element of the regiment is the 1st Squadron, 182nd Cavalry Regiment."
They did become the 182nd in 1920.
Metacom,
http://www.b-2-1-196lib.com/httpdocs/Sub_Htms/History-182nd-Infantry.htmand
your Wiki link seemed a little disingenuous
http://en.wikipedia.org/wiki/182nd_Infantry_Regiment_%28United_States%29