Oh no, I don't think Shinto is English. It comes from the characters "shin" and "tao" I believe English is phonetic and does its best to phonetically spell out those non-English characters.
I would say Shinto is formed by 神 (shin) and 道 (do). Oh, yes, Japanese kanji has its origin in Chinese hanzi and all of that, as Spanish has its origins in Latin and Greek and... But we do speak Spanish and not Greek. So do the Japanese speak, well... Japanese and not Chinese.
Don't even get started on English being a phonetic language...