There are two claims here (ice caps melt + NYC underwater).

I don't think either is even something claimed by the movie, which is a movie. And it's certainly not peer-reviewed science. (Reference for ice caps claim: https://www.snopes.com/fact-check/ice-caps-melt-gore-2014/, and note, "caps" as you wrote it would imply the entire Antarctic was melting by 2012, which is of course crazy.)

An Inconvenient Truth - which was released in 2006 - does not say anything like your supposed quote. Don't lie.

Nice red herring, dude.

And last time I checked, Al Gore was not a scientists.