The Fallacy of the Broken Window is generally correct, but ...
It assumes monetary velocity is a constant. If velocity has collapsed, then breaking windows can create wealth because it circulates money throughout the economy. It can also be beneficial when there is excess capacity in the economy.
Also, it can be very good for your economy if you are breaking other people's windows. This is why war spending can be stimulative.
As well, the OP has made a mistake implying that the broken window theory and stimulus are the same thing. They are not.
This may be what they teach in economics but it is dead wrong. It takes away more than it stimulates. If a 30 year window still had 15 years of good service life remaining & it was destroyed then we lost. That money spent to replace that window was pulled from the bakers investments that was leveraged 4 to 1 creating jobs. Now 4 new higher level jobs are not created & an established window installer makes a few bucks. A new 30 year window will be placed in the series of remaining windows that will all be replaced again in 15 years. Also broken windows lead to lost business. Customers, surrounding business & community feels less secure & relocate to safer communities. Broken windows lead to increased crime, fewer jobs & lost opportunities. Study -
Police Broken windows theory
Also the shop owner & the surrounding community becomes somewhat depressed after an incident. Depressed people do not stimulate the economy. They stop spending & begin nesting. Just look at what happened to the economy after 9/11. The Fed had to over stimulate a housing bubble to get the economy to start moving again.
To take my point further. People claim that WWII brought the US out of the Depression. (talk about a bunch of broken stuff) Well Bush started 2 wars after 9/11 & the recovery effects on the economy are not there. The US recovery from the Great Depression started with us supplying the allies with military hardware, supplies & weapons. This stimulus would have ended with the war & then the economy would have crashed again.
It was the VICTORIOUS SPIRIT citizens felt that lifted fallen nations & the millions of women telling the returning hero's HONEY I'M PREGNANT millions of times over that kept the economy rolling!!! Nothing creates 60 years continuous joyous demand like babies. They needed new clothes, beds, bigger houses, bigger cars, more toys, food, etc. Animal Spirits drives the economy. The current Mid-East wars may have depressed those spirits. We have not had the victorious attitude from these wars or a baby boom.
Japan's massive earth quake/tsunami/nuclear disaster will cause a lot of "Broken Window" spending on rebuilding. The Japanese people have been saving like crazy for the past 20 years because of a debt crisis similar to our current one. So will a defeatist attitude depress their economy or will this spending on rebuilding crack open their wallets permanently & propel that countries economy to new heights? Stay Tuned!!!