[I am not a teacher]
If I may, I'd like to present my interpretation on this subject:
I wish you did it = Can you do it? Oh, how I wish you could it. (The speaker feels something can't be done).
I wish you would do it = Why don't you do it? ( The speaker feels annoyed, as in 'why don't you go home?').
I disagree entirely with your first interpretation. As I've said, we wouldn't use "I wish you did it" in BrE but I think it's used in AmE as the equivalent of "I wish you had done it", which has a completely different meaning from your interpretation.
With the second, "I wish you would do it"
might mean "Why won't/don't you do it?" as in "The toilet needs cleaning. I wish you would do it. I nearly always have to do it myself" (the emphasis being on "you") but it doesn't have to express annoyance.
Jane: I'm thinking of going to live in New Zealand.
Emily: I wish you would [do it].
Jane: Why?
Emily: Because I've always wanted to visit New Zealand and if you go to live there, I have the perfect excuse.