I'm sure you didn't mean that the way it sounds (I had the same sort of initial reaction toward the words as Lilith) and I'm pretty sure it
is a function of self-doubt. When I came out of college I thought I was going to write what I'd been reading in school. Besides the classics and uber-literary fiction, the only genre fiction I actually read was horror, and I knew I couldn't write it. I never considered writing any genre fiction. Until I expanded my reading horizons and fell in love with other genres like Historical fiction, and yes, romance.
The thing is, I am not sure whether you really mean intellectual, or profound. Because many-many-many genre writers are hyper-intelligent, so the distinction there is pretty meaningless. If you're looking to be profound and you don't think you are, well, I guess that might make you feel doubt-ish. But honestly, what will you gain by being profound? Even if people quote you. OTOH, you might be capable of writing a really fun memoir that sticks with people. If you are using the idea of literary writing as a mirror for your self-image, I fear you might be seeing an unfair reflection.
Profundity (and intellectualism for intellectualism's sake) can be life-changing, or it can be pedantic. But it's a pretty capricious horse to which to hitch your wagon.
/metaphor abuse
Take heart and write with confidence, give yourself permission to write what comes out of your heart and fingertips. Only writing (and reading) will make you a better writer, maybe even a literary one at some point.