If you look at all of these revolutions taken together, the main common impact that they have is that they all worked to reduce the power of monarchies and increase the amount of democracy that existed in the world.
Of all of these, the Latin American revolutions did the least to increase democracy, but they too worked to decrease the power and prevalence of monarchy. The American Revolution decreased the power of the British monarchy (as did the Glorious Revolution). The French Revolution overthrew the French crown.
So the common impact of these was to decrease the power of monarchies around the world.
The American Revolution was obviously a point in American history that greatly impacted the future of independence and was what inspired the French people to revolt against King Louis and Queen Marie of France. Latin America was the same way in that when Mexico was being held by Spain they broke free from their clutches (with our help of course) ;) and were able to gain independence. This is only two examples of how many countries were able to succeed in accomplishing independence. India finally became a free nation from the British Raj after India's War for Independence and Mohandas Gandhi's peaceful uprisings such as the Salt March. Africa also was among the nations that gained there independence through force or through trials. It takes time but eventually democracy is given to the ones that need it the most.