Here are your options: lose all of your money or lose 10% of your money. What do you choose?
Allowing the haircut will lead to bank runs which will cause the banks to go bust anyway. There's a high change that it will also cause bank runs in other countries like Spain, Italy and Portugal. Spanish people are already in the streets protesting. "Trust" will be gone. Cyprus is systemic, whether they want to accept that or not.
The second option would almost certainly lead to civil unrest, because it would probably mean that teachers, doctors and other public employees (also pensioners) wouldn't get payed next month. Of course, the first option might also lead to civil unrest ...
Option 2: Panic and make rash decisions