The ebikes I've ridden have carried the weight very well, very low center of gravity, and they handle nicely. That being said, you can bomb down a hill faster on a Trek Stache 29+ or Fuel Ex than the ebikes I've been on. You have to learn to move that weight, which makes it a little slower than a regular full squish.
They don't chew up the trail anymore than a regular bike, which chews up the trail much less than a horse. The land access argument is, IMHO, a strawman. Land access rights can be changed, and as the population grows older, they will be changed to favor that group...that group will embrace ebikes because they still want to ride. Ebikes are coming, they will be a part of MTB'ing, and the MTB crowd needs to be inclusive rather than exclusive because they will just wind up losing out.
MTB'ers lose land access rights not because of ebikes, but because of excessive speed, riding in conditions that cause erosion, and ticking off hikers not to mention the fact that MTB'ers, especially with strava and this thought that every ride is a race, act like shits on the trails. That isn't going to change because ebikes are around.
the whole cheating thing makes me laugh. I know a 70 year old lady who just bought an ebike for trail riding. She isn't cheating anybody.