Slow is smooth, smooth is fast. Work each step until smooth - hand to the gun, draw, presentation/sight picture, trigger pull. Then work them together until it's one fluid motion, nice and smooth, then you'll start picking up speed. Remember that how you first grip the gun to draw it makes all the difference, with the proper grip your sights will line up naturally, without it you'll be making adjustments to line your sights up and that will slow you down a lot.
“Never give in. Never give in. Never, never, never, never—in nothing, great or small, large or petty—never give in, except to convictions of honour and good sense. Never yield to force. Never yield to the apparently overwhelming might of the enemy.”