Chris,
Maybe the opinion of a physicist might be of interest here - not a professor, but a chartered physicist with over 20 years' experience, so I'm probably as near as you'll get on the forum.
The collapses of the WTC towers involve a lot of concepts that aren't exactly everyday stuff for physicists; yield strengths of steel girders, failure modes, fire progression modelling are a few examples. In fact I get the impression that it's not even exactly mainstream stuff for structural engineers, who are generally far better placed to follow the details of the analysis than we are. In order to understand what's going on in the discussions, I've had to learn a lot, and people like Newtons Bit and Gregory Urich know all this a lot better than I do. From that alone, I suspect therefore that if you put all the papers on the WTC collapses on a physics professor's desk and asked him whether they proved that the collapses were to be expected, the most likely answer would be "Let me get back to you on that." There's still a debate here on whether Bazant's work proves the inevitability of global collapse given collapse initiation, and there are valid arguments on both sides (although, given that the model is so simplified, even this is far from casting any doubt on the likelihood of global collapse in the real world), so overall it's far from trivial or obvious.
Looking at the other side of the debate, things may get a bit simpler. There are some physicists who have written papers claiming that the towers couldn't have collapsed, and I've posted some criticisms of those papers here. In general they have some glaring errors or invalid assumptions that lie at the heart of their argument, and I'd expect a reasonably alert physics professor to pick up on those errors. However, in some cases it can be tricky to see exactly where the error lies, because of a bad habit the truth movement seems to have picked up. This is the habit of taking inadequate evidence that something has occurred and assuming it to be reliable, and in some cases assuming that it proves an even more extreme case even than the evidence suggests. For example, Kenneth Kuttler starts from an anonymous report that some rescue workers found no concrete particles larger than dust in the section of the WTC debris pile they were searching, and from this derives the assumption that (1) all the concrete in the WTC towers was pulverised into fine dust, (2) this happened to all the concrete in a given floor in the first impact of that floor on another, and (3) all this dust was immediately ejected from the tower and hence could not contribute to the collapse. This sort of nonsense can be difficult for a physicist to spot, because we tend to believe that papers like this are written with good faith and common sense. It's sometimes more an area for general skepticism and examination of claims - more in common with investigative journalism than physics.
Once we start to understand the issues and actually do some calculations, the physics-based arguments of the truth movement are like snowflakes in July, because in general they rely on stating that it is intuitively obvious that an unevaluated quantity is equal to, or unequal to, some other unevaluated quantity, and arguments like that cannot stand up when the quantities are actually evaluated and examined. However, sometimes it takes more than the experience of a physicist to know how to do the maths.
In summary, the physics of fire and damage initiated collapse is generally correct but not trivial. The physics of the truth movement is generally erroneous, and the physics of those errors is generally trivial, but the derivation often is not.
Dave