Those SHS rails and blocks that you got can do a hell of a lot better than 1000 IPM. Also, 1000IPM in 0.2 seconds is only 0.22G. So ignoring friction, your drive mechanism will only need 100lbs of force for a split second.
For wood, cutting force will be around 10-50 lbs unless you get yourself a 10-20hp spindle. Based on this, that 1KW motor will not only be sufficient, but overkill. You can crank up the acceleration if you want to, and definitely crank up the speed.