Not really. Some people do that, others do not.
But, even so, that is not the same as requiring a strong government. You can have a weak government with a constitution preventing them doing much other than providing basic services (and raising taxes to pay for them), and you can even allow those who do like the idea of anarchy to live under it.
Yeah, because people in the middle of a war are really going to suddenly be nice and peaceful....O and all that looting and raping during government transition show SO much promise for anarchism.
Plus, there are plenty of wars where that has not happened, or at least has only happened to a limited extent. Not every war is followed by indiscriminate looting and raping.
Besides, I don't see what's so terrible about looting anyway. It's only property, they're not actually harming anyone.