Technically, true.
Last time they made the trip they deployed as elements of the 49th Armored Division, prior to retiring the colors and unfurling the historic colors of the 36th.
The Division's 56th Brigade should be returning from Iraq just about anytime now. Other elements of the 36th are serving in Afghanistan.
Bless em all.
Didn't know that. Last I heard of them, the 143rd Infantry was crossing the Rapido River in 1943. Or trying to.