As you begin your post with "The more I read about this guy", I guess that means that you did not read the book? So then your opinnion is based on assumptions, and it is impossible to have conversation in this case, right?
If you are talking about that .txt file I have also found on the internet, what can I say, even if there is name of Fomenko, during the the text he is adressed as him, and metiones as "Fomenko and his work". Also, any of this is part of the book I have, so it is not clear to me who is really author of that document.
Again, I have known some things about flows in usual historical line already, so few things mentioned in the book were not new for me.
Old civilizations have had very precise skymaps btw, so I don't get your first part, really. Also it is hard to not have doubts if you can put side by side two very long lines of rulers of ancient rome for instance, and see that the number of rulers is the same, times of rule are the same, nicknames and some of the names are similar, similar things were happening during the time of rule, same causes of death, similar wars of the same duration etc. So it is not really about simple similarity
Also, I am not from Russia too and have failed to see any kind of russo-centric stuff in the book. Historical book written by English scientist could probably also pay a bit more attention to happenings in his own country, but I would not call that Anglo-centric. Even if most of the history is already heavily euro-heleno-centric, but it seems that people are so used to that and it is accepted as normal that world was always turning around europeans.
And about second part of your post... I really fail to see connection between what you have wrote and the book, because there is no collision between what you have mentioned and the new possible history line, mentioned in the book.
Not that I feel like being advocate to the Fomenko work, but can't really understand what is inspiring you to be that much negative about something you didn't actually read?
And About Byzantine empire, a lot of what we learn about that part of the history is actually bullshit, apart from this book.
Whole idea that small number of wild Turkish tribes can somehow got the idea to make organized state within just one century, then destroy Byzant power and multiply in great numbers that soon most of the people in small Asia are Turks is what is fantastic to me.
Or hystorycal concept that south Slav nomad tribes came wondering from the Asia (how could they if they had agriculture, and this needs for people not to move often, and were often vegetarian because of matters of faith) destroy all the Ilirs and eradicates them (and If I remeber well in Herodots history, he writes they are bigger in numbers after people of India) easily beats Byzant and takes their holdings on Balcans. They are in constant war with greeks but somehowe this is one and only moment in history that one group takes religion and allows to be "civilized" by their mortal enemies.Hundred years later uncivilized tribesman have feudal states jumping over hundreds of years of development. It does not sounds historical but funny to me but nevertheless, it is history we learn in school.
And even in last century, when we have films, books, media , living witnesses, still historical truth is twisted by the victorious and powerfull for their causes and small number of people understands what is really going on.
Compared to all that Fomenkos work is really quite logical and rational to me, at least no one that has read the book have given me rational explenation where is flow there. I do belive more to mathematics and other exact sciences and I don't think it is strange. For instance in the case of Ottoman empire, it was the interest of christian church to have empire of Turks on the west, solid and islamic, so they have made such a picture even if most of grand Vezier's were Slavs, and there was only few Turkish veziers. History was always based on interests and in hand of small number of powerfull, and in big part, modern "scientific" history is just an extension of that, based on premises and documents already written in ancient times with clear political causes.