Ariadne was played by Kathy Voytko who is currently on the road doing Evita. She was also in the Producers. She had a VERY small role.
As for the book being good or not good...political or too political...you have to remember that they started with the constraint of the original Greek play and if you think THIS was political, then you should see REAL old Greek theater where they put on masks and make fun of politicians, rich people in the city, etc. If the show was misunderstood or if people expected something different I really blame THEM for not researching what they were going to see. It was not meant to be Forum or even a classic Sondheim show...it was meant to be what it was and because people didn't understand what it was meant to be...some were disappointed.
As for Mandy2B's comments, I'm not sure what his/her like or dislike of Lane as a person has to do with the original question which was 'how was this show?'. Either you liked the show or you didn't. No one asked you to marry the actors.
As with most shows, this one had all kinds of things going on behind the scenes that the public does not see. This show in particular started with Sondheim/Stroman convincing Lane to take on the lead when he didn't want to (since he was the writer and knew he'd have to rewrite)...so there was THAT pressure and then Kattan didn't work out and they replaced him at the last minute. AND Sondheim is well known for penning songs at the last minute and replacing songs etc.
Against that backdrop, I would say that the show did very well representing itself and that Lane did a creditable job of writing his first book. Would like to see him do more.
"Life is a lesson in humility"