It looks like you've forgotten about gravity, Spencer666.
There are three forces acting on each bit of water on the ocean's surface: the force of gravity, the centrifugal force (if you want to think of it like that) due to the Earth's rotation, and upwards normal force from the water below. These add up to give no net force (in the rotating frame), so water doesn't flow towards the equator due to the Earth's rotation.
To be a little more accurate, if the Earth was a rotating sphere, then the centrifugal force would cause an imbalance, so that water would tend to flow towards the equator, changing the shape of the water surface until it was an appropriate oblate spheroid, with the precise shape being determined by the rate of rotation. And guess what? That's exactly the shape the Earth has.