I commented over on LG's thread that I thought that the maths was sound, but that there was most likely no need to panic as the calculation assumes only Standard Model particles -- and we have good reason to believe that there are other particles out there yet to be discovered.
In answer to most of the rest of the points, particularly about peer review, I think I might wait until I have some experience of it myself. I'm sure that several important papers have been blocked or delayed over the years because the reviewers disagreed with the results -- and if I could be bothered I'd find examples, but I don't really need to. Like any other group of people, there are Scientists with big egos, and that's a shame. Overall, though, the peer review system works, and it means that such results as do come out have been checked, double-checked, triple-checked, and as such are unlikely to be wrong in any major way.