Although I really enjoyed this movie, there are some factual errors in it, and if you think that you can get out of paying taxes by using the claims made in this movie, think again. If you are embarking on war tax resistance by any other means than reducing your taxable income, you must be prepared to make the sacrifice.
The problem is, in 1909, when the amendment was presented to the states for ratification, there were only 46 states in the union, Arizona and New Mexico had not been admitted yet. That makes the requirement for passage only 35 votes, which means that the amendment passed, even with the elimination of the three problem states.
Furthermore, the legislature of Kentucky passed the amendment after the necessary correction was made, Oklahoma's vote was upheld in a federal appeals court and the US Supreme Court made a decision affecting the Tennessee outcome.