I have just re-read it and it's clearly misleading and he is not clear they are still foxes, the paragraph makes it sound like they are now dogs.
The nearest he gets is the statement that they have dog-like features, how on earth do you read that as misleading? So just to be clear Dawkins does not make the claim that they became dogs and wolves, as I correctly surmised the problem was your mistake.
Animals can't go back up the evolutionary tree and then pop down an adjacent branch, the tree is metaphorical but it is also historical. What can happen is that populations of animals adapt over time as clearly happened in the example given and that there is possibly a link between some morphological features and tameness in some closely related animal species.