We dont know if the problem exists. E-bikes are legal only on a trial basis. We wont know what the true liability of having them on the road is. Im sure people have their bad experience with them and there are deffinatly drunks with previouse DUI's who use them to get arround. I like in a not to urban area so my experiences with them have neutral.
The trial ended in 2009. It's actually just as illegal to ride them drunk as it is to drive a car drunk, and I'd certainly support some heavier restrictions meant to keep bad riders off the road. Going the wrong way on a one way, running reds, etc. need to be dealt with strongly with any vehicle.
There's a kneejerk reaction to bad drivers on a new mode of transport like this: make them pay insurance, and make sure they're strictly regulated through licensing and registration. That's not really the right way to go about it, because they aren't vehicles like anything else on the road. Despite their stature, the scooter style ebikes are incredibly light. Their frame is no heavier than a bicycle frame, and all the bodywork you see is plastic, The only thing heavy is the battery pack, and maybe the motor. As motorcyclists, you might equate them weight wise with motor scooters, but the really are not anywhere near that heavy.
Knowing this, it's pretty clear they can't cause any more damage than a bicycle, and knowing the speed they can travel, it's clear you can't get any worse hurt on an ebike than a bicycle. Unless you plan on forcing insurance on bicyclists, there can simply be no reason for insurance on ebikes.
Now, as for licensing, it's a fair point that some of these riders simply don't understand road rules at all, but as they are no more dangerous than a bicycle, this must be left to punishment and restrictions on certain classes of riders, not as a blanket restriction. I would agree with anyone having a DUI with a suspended license being restricted from the roads on an ebike. Making filtering illegal on a scooter style ebike illegal would also be acceptable.
Bottom line is that they need to be seen for what they are, seriously no more dangerous than a bicycle, people just don't like it because it's new and it's another small vehicle on the road that pisses them off. Like I said, completely kneejerk reactions here.