Yes, you are right; we also had problems winning against Austria. What we can learn from the Austrian games against Switzerland and Canada is to never underestimate your opponent and to keep concentrating the whole game until the last second.
I think there is no reason for you to be worried. The coaching team of the Czech Republic surely know how to prepare their team. If the Czechs don't underestimate Austria and begin to neglecting their own game and the defense, they should win it, even if it's a tough game.
I don't think the Czechs consider it an easy game that they can win by passing. They noticed the mistakes of Switzerland and Canada and won't copy them.