I have to disagree with the statement that the drag force is useful for horizontal axis wind turbines. As far as I understand it, this is a misconception.
Lift is defined as the force acting at right angles to the local wind direction (wind and 'headwind' due to motion). Drag is defined as the force parallel to the local wind vector. This local wind is usually refered to as apparent wind.
When the rotor is stationary, the wind vector is parallel to the shaft of the machine (if correctly positioned). Drag will push the blades straight back (yes and not at any sort of angle). This doesn't come from any analysis of flow or pressure it just comes from the definition of the drag force. This force cannot propel the blade in any way since the blade cannot move back - only sideways. The lift force is sideways but very small, because the blades are almost flat-on to the wind, and deeply stalled.
As the rotor begins to move it experiences a headwind that rotates its apparent wind to an angle with the plane of rotation that is less then 90 degrees. The angle reduces with increasing speed and especially toward the tip where the speed is highest. Now the drag force is totally counterproductive. The lift force mainly produces a bending force/thrust force pushing the blade back (and, by reaction, the wind forward, slowing it). However there is a small part fo the lift force that actually drives the blade. This has to be greater than the drag force if we are to get any power.
High speed machines do not have any sort of monopoly over lift. Farm pumping windmills also use lift (they have to by definition of the word!) The big difference is that the high speed machines have much better lift/drag ratio due to their more sophisticated airfoil shape. They have to or they could not run so fast.
As for the original question - yes it seems wrong intuitively, but so do many thigns that work. and it certainly does work. This is a billion dollar industry worldwide and it produces some of the cheapest eletricity on the planet. So they must be doing sometjhing right. And all the big machines have blade tips that move many times (6-8 times) faster than the wind. Count the revolutions and do the sums yourself.