Steel beam do not have to reach 800C to see their strength reduced, it is gradual and depend on the steel. Besides steel used in beam are not high tech alloy steel.
As soon as the beams start to bend, they bend faster and faster, so the upper floors collapsed, releasing a tremendous energy like a gigantic hammer, making the lower floors collapse and this in turn releases more energy and the whole process acellerates.
Buildings are designed for a static charge, not a chock like the one experienced in this case.
Comparative studies have shown that if these buildings were made with more concrete as in Europe, they would not have collapsed like this. New buildings will have beams better proteced by concrete for example.
As for not trusting the governement, OK, this is normal. Once individuals are in power, it is very tempting to abuse of it. It is human nature and the "people" must always keep an eye on them. This is democracy.
Now, keep in mind that many time what people see a plot or a conspiracy itis often just plain incomptence or lack of proper communication.