It is plain to see that you don't like dogs.
Here, what does it refer to? To see that you don't like dogs or that you don't like dogs?
If it refers to the former, then the sentence means:
To see that you don't like dogs is plain.
If the latter, then it means:
That you don't like dogs is plain to see.
Since both do make sense at least semantically, I wonder what would be the better syntactic analysis of the sentence. Or whether either would be an equally possible analysis.
Also, would your answer change if
(1) plain was replaced with easy in the original sentence?
(2) to see was replaced with seeing in the original sentence?