No he isn't to blame. Check out DJ Rhude's post. What kind of idiot coach forces his team to pass with 55 seconds left? Your team just allowed 21 straight points, is completely shell shocked, and has absolutely no momentum. You do not try and run pass plays, period. You run the ball, kill the clock and hope to win the toss. So what if the G-Men had some timeouts left, Coughlin has to have better situational awareness in that situation.
Another big deal here is why even put the game on your punter if you know he is complete shit. Coughlin failed here as a coach, like Schwartz failed against the Jets.