I can assure you that emotion has very little to do with my very rational appraisal of the problem that we face . You on the other hand have a swallowed the environmental nonsense espoused by your environmental fanatics hook line and sinker. I can only imagine that you are a body that does not depend on your land for a living but are quite happy for it to become a playground for these vermin.I am entirely aware of what they do, but a native animal doing something natural in its natural environment can't be accused of causing 'damage' to that environment. Because it isn't, since they evolved together. It is no more 'damage' than is the hole a woodpecker makes in a tree or a kingfisher or fox in bank. And it is for certain far less damage than what we have done to change the / their natural environment to suit us.
That written, there is no doubt at all that they can cause genuine and quite severe damage to what we have built in their habitat, and so inconvenience us too. And, being a fair-minded fellow, I think that and the essential importance of much of the changes we have made should be recognised and the damage either be prevented by their total exclusion from certain areas, or their removal / extermination within them. But bear in mind that what is now what we would agree as 'prime agricultural land' was once prime beaver land, before they were destroyed by us.
I've made quite a study of the beavers and their extinction in Britain; and haven't come across a single piece of primary source evidence which mentions people 'eliminating' beavers deliberately, meaning as a species rather than individuals. They were eaten as 'fish', and they were hunted for their very desirable pelts and their castoreum, and all this was done so widely for so long that it did lead to their local extinction.
Nothing you have written argues for no beavers, only for their exclusion from areas of conflict with humans. I may be wrong, but you appear to be asserting that the beavers were killed off - you write 'eliminated' - for another reason and your post as a whole infers that you think it was because of riparian damage. Please cite primary references to support this claim.
You clearly feel very strongly, sadly that strong emotion seems to have clouded your judgement and prevented an objective and rational and so fair analysis of the situation. As for your last few lines, they read as from a petulant and particularly ignorant fool, by which I mean that you do neither yourself nor your cause justice.