Yes it can smoke if more than a quart has been added. Also due to oil pressure inside engine and the extra oil (again, more than a quart, usually around two quarts), you can begin to push oil past seals, such as the rear main seal, front engine seal, cam seal, etc. Your car would smoke because the oil is pushing past the piston rings going into the combustion chamber and burning off through the exhaust. And no, it will not make you car rev any faster. That Henry is some other problem. Best thing is to let the car cool off. Then loosen the oil drain plug and pull it out and let some oil drain out. Put the plug back in quickly so as not to drain too much. Make sure you use a clean container/pan to catch the oil you drain out. This is in case you drain out too much and have to put some back. Then check the dip stick.
Oh, and don't do it again. And don't drive it around for too long with excess oil in the engine. Once seals begin to leak for a period of time they will continue to leak even after the excess oil has been drained.
Good Luck.