Right, very like me. Language is the front end; I use it to express thoughts when needed (to record, communicate and check reasoning) The back end is working in some kind of abstract space.
I suspect people who say they think in language are not really thinking "in" language. I think we all have this abstract conceptual space in us. I'm not even sure what it means to think in language; where do the ideas and concepts come from that are being expressed? I guess some people have to internally "hear" a thought expressed before it is real to them.
Internal monologue (or dialogue, as it can play out as imagined conversations) is an apt name for it. Imagine reading a play. Everything is expressed as language, and ideas and concepts are expressed through that language.
I suspect people who say they think in language are not really thinking "in" language. I think we all have this abstract conceptual space in us. I'm not even sure what it means to think in language; where do the ideas and concepts come from that are being expressed? I guess some people have to internally "hear" a thought expressed before it is real to them.