I'm just getting back from the show tonight, and yes he does perform two songs from Thou Shalt Not, as well as Hey, There from Pajama Game. It was a mostly enjoyable evening, except it was too long, mainly due to the banter in between the songs.
The first act is 90 minutes alone, and is well-sung, but rather on the same level throughout. The second act really perks up, and there is a guest trombone player who really stops the show. Take Her To The Mardi Gras is really thrilling and was probably the highlight of the evening.
I actually believe the show is unscripted, and this doesn't always play to his favor. Some of the bits worked, while others left me restless and hoping for the next song to start. I don't mean to sound negative; I thought it was a fun summer evening of theater. It just could have used some editing here and there.
Marie: Don't be in such a hurry about that pretty little chippy in Frisco.
Tony: Eh, she's a no chip!