Earlier quoted context omitted.
"my wife and I" is fine. https://en.oxforddictionaries.com/usage/i-or-me
Um, what? You have linked to an explanation of why it's not fine. This mistake is getting more and more common, even among educated people. It's quite embarrassing/funny because it stems from a belief that "I" is inherently more "educated", and the result sounds anything but. I know us English speakers can't speak any non-English languages, in contrast to the rest of the educated world, but it's really not too much t…
I recall from my early public education that my peers and I were all taught incorrectly. They told me and my classmates to use "I" rather than "me" in all compound nouns, rather than to use the correct pronoun. This is burned in my memory. It happened. Don't try to gaslight it. At least one teacher taught every last one of their students the wrong grammar.
For instance, this would be correct. "She and I [1] went to the theater, and the ticket-agent told her and me [2] that matinee prices ended at 4 PM." Countless fools would put "her and I" in position [2], sparking a righteous, impotent rage in my soul.
Also, it's "I know we English speakers can't speak...". Try taking out the descriptive. "I know us can't speak..." versus "I know we can't speak..." Select the correct pronoun, then put the descriptor back in.