The songs were funny last season when it was their whole "hook" (also, most of those songs where like four years old). Now that they've established the context of the show, I think the songs are, at times, pretty weak. There are some exceptions. I'm good with one song per week.
I do sort of like how the other characters get to get into it -- like Murray and Mel. It adds a strange sort of MGM musical quality to it.
I don't think I'd want to hear them on the show though... I've read a lot of interviews with them and, I don't know -- I don't know if they fit into the type of absurdity Tom breeds.
But what do I know?