Love that "Go Army" tartan! Mine is a utility kilt, which I will wear tomorrow during game day (Ole Miss v. Alabama) I'll post a photo or two. Hadn't thought about sewing a patch on it but as a graduate of the 7th Army NCO academy at Bad Tolz, 1977, it would be a cool addition to have the "ascending stairway", shown below on the sleeve of my (for ceremonies) Eisenhower jacket.
Click image for larger version. 

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