Fortunately when the unit was installed I had made sure there was an extra safety net in case something like this happened, so I was easily able to turn the water off and not have to turn all the bathroom water supply off. The guy installing it thought I was crazy at the time, but now I'm glad I insisted.
Now, I'll bet that wouldn't happen in Australia! It's not exactly the same as the old one, but it's installed and works perfectly. In fact, I like this one better that the old one because it has a tap you turn on instead of a button to press. I'm thinking less pieces to go wrong is good!