You are so very funny!  The cappa was not in use in the 6th century.  It was nothing more than an ostentatious court garment to show of prelatial money and power.  As for the Transfiguration,it was a theophany, Jesus allowing his divinity to shine forth for the apostles and if I remember correctly, all is says about his clothing was that it was glowing white.  Burke is not Jesus, not even remotely God like and as a supposed successor to the apostles, should be following the admonition "go, sell all you have and give it to the poor, then come follow me".