Re: shaky 2006 15 horse johnson 4 stroke
Yes, they vibrate!
Remember that in a a 2 cyl 4-stroke, both pistons move in parallel up and down at the same time. On a 2-stroke, one on 'top' -the other at the bottom.
In order to balance this out, they add extra parts like 'balance shafts'. However the 'balance' between added weight, improved balance etc is at the end a compromise.
In general the lower the rpm, the smother the ride, but give it full throttle, and it really is a 'butt shaker'. It does not get netter that the whole leg and lower unit parts including vibration dampers are from the 2-strokes and not specially designed for the 4-strokes.
I've had a couple of those engines in my time, they are excellent as trolling engines, but running at full is a torture!