In this model, I imagine that many of these low-level ideas start in a non-language form, and as they bubble up to the higher levels of the mind, they get wrapped in language, as they are processed by consciousness. But since things are not simple, the higher-level agents can modulate the lower-level ones, and that's how the language parts of our minds can influence the non-language (emotional?) parts. I have experienced several instances of purely rational cognition imprinting into my emotional perception of reality.
But, if I spend more time around Spanish speakers, which was my birth language, I find I do switch out the English for Spanish.
I'd expect most people with a multilingual background are similar. Your thoughts express with whatever language your brain is most comfortable with at the moment.
So which language do you speak in your dreams?