Close... there are still things that require human intervention currently, though in the future combines will be completely autonomous. Right now humans have to watch for interruptions in crop flow, obstacles, etc. Just got in from harvesting wheat all day. GPS did all the steering, the computer took care of cutting height across uneven ground. Though my combine does not have it, many combines can moderate their ground speed as well, changing speed as crop conditions change to make sure the machine is running at 100% capacity.
John Deere, and soon Case, have technology for linking the grain cart with the combine so the combine operator (or the computer in the future) can control the position of the cart to load it evenly while unloading the combine's on-board grain, all while moving through the field.
Pretty much all our machines have GPS steering now. With machines that are too wide to drive accurately without overlap. Everything from planters to cultivators, sprayers, harvesters, etc.
Given the expensive obstacles in my field (oil wells, pivot irrigation systems, other machines, trucks, etc), I do prefer to oversee things currently but I wouldn't say farmers are not wanting this sort of automation.