What your probably looking at is a layer that was either drawn poorly or based off a different projection or different criteria.
Old and new. You best result is most likely going to be to paste it in and take the time to edge match it as best you can.
There really is not tool that is going to automatically fix this.
it really is a very small area and the areas are off are not huge.
This is 15 to 20 minutes worth of work. I would just do it manually.