I think you'll need to wait for a native speaker to get a definitive answer, but I think your #2 sounds closest.
You might want to change it to
これから、日本語を勉強する人は増えていくと思いますか?
or possibly
これから、日本語の勉強をする人は増えていくと思いますか? Its just slightly changing the emphasis, but I don't think the meaning is changed at all. (However, I am often wrong about these subtleties, so wait a bit for a confirmation or rejection of that).
近い将来 sounds a bit like you have a specific time frame in mind. (3 months? 4 months? 1 year?), rather than a more general "in the future".
Regarding は vs が it is often confusing even for people who have attempted to speak Japanese for a long time (like me). In my alternatives, I suggest は instead of が since it feels like "people who study Japanese" is the subject/topic of the sentence. が still gets your point across, but it feels like its suggesting a contrast that doesn't exist. As I say, wait for validation on that point.