There is nothing wrong with that!! I think that comes more easily from living surrounded by Kanji, because otherwise it might have taken me longer to recognize kanji. (Here's the thing: I'm still not great at writing them. I'm quite bad, in fact. But I CAN recognize Kanji, usually. Still two different things, though.)

I think the way you're going about studying is perfect! You're learning how to use the grammar, which is the key to communication! Some Japanese cannot even read Kanji, so even if you are still using hiragana or katakana, EVERYONE, at least, can read that! :D