tzfujimino said:
This is how I'd explain the matter to my students.
(I'm not a grammarian. I might be wrong, but I believe in this analysis.)
***** NOT A TEACHER
*****
1. Apparently, the two authors of one of my favorite books agree with you.
a. They say that "him" and "me" in these sentences are the direct object, and the infinitive phrase is simply the
objective complement.
i. The shock caused
him to lose his balance.
ii. I believe
him to be honest.
iii. [You] do not make
me laugh. [infinitive without "to"]
Source: Homer C. House and Susan Emolyn Harman,
Descriptive English Grammar (1931, 1950).
*****
2. Furthermore, two scholars agree that after verbs such as "get," "want," and "like," one cannot use the "that" sentence:
Correct: John wanted Mary to play the piano.
Incorrect: John wanted that Mary should play the piano.
Source: Randolph Quirk and Sidney Greenbaum,
A Concise Grammar of Contemporary English (1973).
*****
3. Finally, another scholar says that "I want that he should go away" (instead of "I want him to go away") "sounds strange or even unidiomatic."
Source: Paul Roberts,
Understanding Grammar (1954).
Therefore, there are at least three analyses:
My parents want ME TO DO IT. ("me to do it" is the direct object.)
My parents want ME to do it. ("me" is the INdirect object; "to do it" is the direct object.)
My parents want me TO DO IT. ("me" is the direct object; "to do it" is the objective complement.)
James
P.S. Now you see why grammar is taught in VERY few American schools.