Lots of wind turbines will mitigate the damage
What makes hurricanes so dangerous is the concentration of energy in a "small" area. Wind speeds are directly related to energy in the hurricane. If you can remove energy, the hurricane will naturally decrease in intensity. (I'm not sure if this qualifies as "stop the hurricane" but it will sure mitigate the damage from a hurricane.)
Mark Z. Jacobson at Stanford has done a lot of math to show that large numbers of turbines (tens of thousands) can suck enough energy out of a hurricane to decrease the damage done. Hurricane strength is inversely proportional to the number of turbines present subject to the law of diminishing returns. As the number of turbines goes up, the strength of the hurricane goes down.
Total Prevention of Hurricanes?
If these turbine farms were setup in the band of the Atlantic and Pacific ocean where hurricanes/monsoons form, then this could suck enough energy out of the atmosphere to prevent or minimize hurricanes. The logistics of doing this will be immense but they might pay for themselves with the energy generated.
Addressing Heat Buildup
A comment on the original question stated, "A hurricane is nature's way of moving heat from the equator to the poles. If you stop hurricanes, that heat is going to build up, and is going to find an outlet somewhere." (Mark at Oct 6 '16 at 20:07) Let's talk about hurricanes at a smaller scale.
Hurricanes need the energy in warm, moist air to grow and sustain themselves. If you starve them of that energy, they don't form or don't grow as strong. Turbines extract mechanical energy from the lower atmosphere and convert it to electricity. Turbines can't remove all energy from the atmosphere (that'd be all kinds of bad), so we would still see localized low-to-high altitude energy exchanges in the form of thundstorms. Perhaps there will be more and stronger thunderstorms, but fewer hurricanes.
Most everyone has taken a bottle of water and tried to empty it over a sink. The familiar glub-glub-glub of water falling out, pause, then air coming in, pause, then water going out, is well known. Perhaps less known is that if you give the bottle a quick swirl, the bottle empties in a mere fraction of the glub-glub-glub approach. The swirling water opens a tube between the air in the bottle and outside air thus providing a "high speed", uninterrupted path for the air to get into the bottle. Hurricanes are the swirling water at the neck of the bottle. I shall demonstrate.
At the most abstract, we have a region of high energy and an area of low energy, in both the bottle example and the hurricane. For the bottle, the high potential area is the potential energy of the water held in the bottle, where the energy is provided by gravity. Hurricanes, on the other hand, have their energy provided by warm, moist air at low altitudes.
Over land, we see warm moist air trying to get to areas of low potential in the form of thunderstorms. The warm air rises towards the upper atmosphere forming giant cumulous clouds until the cooling effects of altitude and surrounding cold air halt any further upward progress. It's well known that stronger thunderstorms will produce taller clouds than weaker storms.
It is at this point that I will disagree with Mark. From the perspective of warm air on the surface of the ocean, the most accessible area of low potential is directly up, not pole-wards. Hurricanes are Nature's way of facilitating the movement of energy from low altitudes to high altitudes. Yes, generally pole-wards does have lower energy than the equator but on the scales we're discussing ie, "can turbines meaningfully attenuate hurricane strength?", the poles don't matter much since they are so very very far away. Also, hurricanes aren't the only way for energy to escape the equatorial waters; there are still tons of thunderstorms that do the same "job" as a hurricane just on a much smaller scale.
Let's go back to our bottle example: Over a very warm tropical ocean, we have an absolutely gigantic pool of energy in the form of warm humid air. This is exactly like the water held in the bottle, waiting to drain out. Thunderstorms form almost continuously at the equator in an area known as the Intertropical Convergence Zone.
Enough talk! What's with the turbines!? Hurricanes always peter out over land or cooler water because there isn't enough warm moist air to sustain the intense updrafts in the eye of the hurricane. Thus, the solution to hurricane formation is to starve the hurricane of warm wet air. Turbines can only convert mechanical energy within moving air to electricity, in other words, all they can do is slow down the wind...but that may be enough. Hurricanes are concentrations of energy and only form above some threshold of energy. If the turbines prevent the concentration of energy above that threshold then the hurricane won't form. Or, if a hurricane does form, it will be weaker in the presence of turbines. Instead of hurricanes, we could expect to see lots of tropical storms or thunderstorms over the Atlantic.
The Atlantic Oceanographic and Meteorological Laboratory has an interesting writeup on the energy released by a hurricane.