yup, i think u're right
Yes it was a draw in the original game, just enough for Josh to win the tournament. That game is presented by Josh himself in the Chessmaster: Grandmaster Edition.
Most of that info is available on Wikipedia. They have a great article on Searching for Bobby Fischer that explains the game and the changes that Bruce (Pandolfini), Josh, and the filmmakers made to dramatize the final game.
I was watching Searching for Bobby Fischer, and I found an error. In the final game, Josh does not have a forced win. It should be a draw.
I forgot to add this variation: