I'd encourage you to record your moves and post the whole game, because it's really hard to give advice like this in abstract.
That being said, the canonical advice is to meet play on the wings with a counterattack in the center. By breaking open the center, you can prove your opponent's pieces are misplaced. My opening up the center, you can take advantage of his exposed king. (After all, if you're improving the positions of your pieces while he's pushing pawns, when the center opens it will favor you).
But it also requires courage, calculation, and imagination. A kingside pawn storm may not be sound, but it's still dangerous. Often you have one move, or two, where you can play dynamically and turn the tables. But sometimes that requires a sacrifice or some harry tactics, and if you miss it, then your king is vulnerable.
Post a game or two, and we'll be able to offer more specific information.