I guess Aegis kind of said this already, but jutsu and jitsu are both Romanized approximations of a word that was never meant to be written with Roman letters. Neither one can really claim to be the "right" one.
You're annoyed that people are attempting phonetic spelling of a word from another language? Yeah sorry, you'll get minimal sympathy from me on that one.
When refering to Japanese Juujutsu, spell it with a "u" because no modern Japanese romanization uses "i" for "う." As for Brazilian Jiu Jitsu, I don't know how they pronounce it. (I have already demonstated my ignorance of Brazilian Portuguese.) -.-