Well unfortunately for you crazy/nonexistent monster lovers the Montauk monster has been declared a hoax. The "Monster" was really a movie prop used to promote small time horror film maker Darren Goldberg's film "Splinterheads". The first woman to allegedly report the Montauk monster was no other than his sister Rachel Goldberg!!!! What great publicity for good old Darren and he didn't have to pay a dime. Good work Darren keep 'em commin'! Here is a link to an article explaining the whole thing.
http://www.cryptomundo.com/cryptozoo-news/montauk-hoax/ (Check out the website as a whole also its pretty awesome!)