Take the drummer, keyboardist/bassist and guitarist out of band one
Jonathan Fire*eater - When the Curtain Calls For You
Add the vocalist and keyboard/bassist of band two.
The Recoys - Song of the Paper Dolls
And here's what you get......as described by YouTube commenter Marty Nozz- Five guys dressed like they're on their way to Sunday dinner at Mom's, melt the faces off of the audience at the Conan O'Brien show and the drummer wore long sleeves just to rub it in.
The connection between the first two bands is that Jonathan Fire*eater's keyboard/bassist Walter Martin is the cousin of The Recoys vocalist Hamilton Leithauser.
In the lyrics of the first song there is an indirect reference to a celestial event that occurred in 1997. Any guesses?