Can One Daven in Klingon?

Every once in a while, one reads an article that is life-changing. There may be a halacha article that raises important points the reader was not aware of. Sometimes, there is a new pressing halachic question that has as of yet not been addressed. Suffice it to say, this is not such an article.
This article will tackle this important issue: may one daven in Klingon? Klingon is an invented language for the Star-Trek universe. As one may guess, Klingon is spoken by Klingons. This language that registers as truly alien has sounds reminiscent of Arabic, Turkish, Yiddish, Japanese and Native American languages. Its defining characteristic is that it has many harsh guttural sounds. Apparently, Klingon has the distinction of being the world’s most popular fictitious language, according to the Guinness Book of World Records. There is even an institute dedicated to the study of Klingon.
In the Harry Potter universe, Parseltongue is the language of snakes and other serpentine creatures. A person who has the ability to speak Parseltongue is called a Parselmouth. May a Parselmouth recite Shemoneh Esreh in his unique language? Alas, a Harry Potter fan stated that this question was ridiculous, as even Parselmouths do not communicate with one another using this language.