As a musician, I definitely think "in music". I can hear something, whether in my mind or from an outside instrument, and play it or write it down. Teaching piano students, I see that they learn music a number of ways. Some of the most musical ones don't read music with ease, and it seems that they do better in attempting to read, by following the notes and playing them without actually naming them. It's a direct translation from eye to hand, without translating notes as "C" or "F#". And of course many great musicians play by ear. That's definitely non-translated, as is much of improvisation.
As for other languages, living in France for a year, my English syntax often got convoluted. I do enjoy speaking Frenglish, but it is certainly frowned upon by serious speakers of French.