I have run into a bunch of arrogant Hylesites and BJrs who reject Calvinism.Most of the people I know who hold to the position of free will believe that God, though all-knowing and all-powerful, believe that God in his sovereignty has ALLOWED man to make the decision on their salvation, but already knows what their choice will be individually. He, like we, knows that all will not accept, and he knows who will...yet, he doesn't impose his choice over theirs. Semantics and a matter of timing...but, that's what they believe. Blanket statements like yours are a bloviating fool's way of describing this and are the whole reason many believe Calvinists to be arrogant. At times, I have to say I agree.
Semantics are important. Your explanation above does not help me believe that you believe God is always Sovereign and omniscient.
God hardened Pharaoh. God raised Pharaoh up to to reject Him. God did not act because He knew what Pharaoh would do. He made Pharaoh a vessel of descruction and Pharaoh happily destroyed himself.