Betsy is a far more interesting character in the musical then the movie. Her songs are great - I had "Anywhere But Here" and "Betsy's Getting Married" stuck in my head since I saw it. Betsy is more if a character and I cared about her. Could she have had a bigger part in Act II? Yeah, but the show is using Tony Danza for publicity, so it's not surprising they used it to give him a fun number (or three) instead.
Honeymoon is not sexist or racist. There are far more distasteful things on an episode of Family Guy. And Bratley gave it a rave because it's a good show with a great score. It makes people happy (or at least the people I saw after the show) the same way "Hello, Dolly!", "A Little Night Music" and "On The Town" make people happy. And the "Friki Friki" song got some of the biggest laughs of the night - as well as "Out of the Sun" which is hilarious - and anything but in bad taste.
"Sticks and stones, sister. Here, have a Valium." - Patti LuPone, a Memoir