He and Michelle both speak with atrocious grammar. I know I’ve noticed his misuse of words before, but I realize you are looking for specific examples. How many times have you heard Michelle say, “Me and Barack”? They both get tripped up with I and me fairly regularly.
But “Me and Barack” is often correct.
Such as, “Jeremiah Wright gave me and the bisexual muslim kenyan crackhead a great kwanzaa gift today.”
The “me and him” thing as the subject is especially funny for those people who heard you’re supposed to say “I” to sound more intelligent, resulting in “he and I.” So they then also change the “me” to “I” when saying something like “Between Barack and I.”
I don’t know if Michello’s said that, but I would expect it.
They may well know better but choose the incorrect form to show that they have not roamed too far from the 'hood. Also, they may not want to sound "too white." This phenomenon has been noted by Bill Cosby and others.