You need a score of about 163,000 - 164,000 to get this achievement.
Edit:
https://www.trueachievements.com/LIBERATETUTEMAE.htm has commented that the minimum score for five stars is 158,200.
I found that one move in the routine which involves pushing your hand down while keeping your other one out a bit from your body seems to be incorrect despite the fact that the card and the dancers are doing it. You have to keep that hand close to your body for the game to pass the move.