… the result is a grammatical bar brawl. An excellent example is on display over at Ask MetaFilter, where someone innocently asked
So which sentence is proper English grammar: "If you eat like Bob and me, you will be healthy." or "If you eat like Bob and I, you will be healthy."
KA-POW: "it's the second one…" WHAAM: "No, it's the first…" BIFF: "The verb 'do' is implied…" DOINK: "'like' … is indisputably a preposition in this case. It can't even function as a conjunction."
And so on. There's some sensible and well-informed advice mixed in with the mud and the blood and the beer, including a link to my discussion of a similar question a few weeks ago ("Write like me?", 7/24/2009). But overall, the chaos of contradictory confidence is likely to reinforce the culture's general state of nervous cluelessness about grammar.
In this case, an ample supply of the relevant clues can be found in two entries in MWDEU. The first is the entry for between you and I (p. 181-182):
And the second is the entry like, as, as if (p. 600-603):
Unfortunately, the answer suggested by the MetaFilter free-for-all still stands — no matter what you do with this question, some peevologist is likely to take a poke at you. But maybe this background will help you get out of the place in one piece.