Yes — I love this. I sing/compose, write fiction & draw cartoons. I used to be ‘torn’ as you say in your post. Now I see them all feeding into one another.
For instance — I have no problem coming up with original melodies and putting them to chords with my guitar, but I kept getting stuck on lyrics. Basically, they were shallow (and sucked!). At the same time, I was writing short sci-fi stories. So I temporarily walked away from the melodies and the sci-fi and started writing poetry. Poetry = better lyrics = better songs :)