One of the many reasons to fight to rid yourself of dominance by a foreign power is the preservation of your culture. For the Greeks, this happened very literally. In the 1821 Greek War of Independence, the Greeks went so far as to send lead to the Ottoman armies so they could make bullets and stop stripping the Parthenon for lead.
It's fair to say that some Greek gave his enemy the bullet to kill him and his buddies. That's how important a cultural icon like the Parthenon is.
Greece was under Ottoman rule for a few centuries by the time they declared independence. But even after almost 400 years, the Greeks were not about about to forget that they aren't Turkish.
Greek culture is strong and many, many independence movements had come and gone before this one. But by the 1820s, the Ottoman Empire was in the throes of a very slow decline. This was Greece's best chance and they took it. Uprisings began all over Greece. Eventually, a makeshift Greek navy formed and managed to keep Ottoman reinforcements away.
Cities in Crete and Macedonia soon followed and Turkish garrisons in major cities came to find themselves surrounded by unhappy — and often armed — masses. When the Greeks were forced to lay siege to the Parthenon, they were very careful not to destroy any of the antiquities or the site itself.
The defending Turks were on high alert. They started breaking down the walls in the Acropolis, hoping to break down the lead shielding and melt it into bullets. That when the Greek attackers either offered to send them lead to make bullets or just sent them ammo so they would stop destroying it.
Ottoman principalities then joined the effort to suppress the revolution. Mehmet Ali of Egypt sent land and naval forces to put the Greeks back in their place. By 1826, it looked bad, very bad. That's when Western Europe came to help.
England, France, and Russia all had an interest in the Empire's continued decline and opted to help liberate the birthplace of Western Civilization. They all sent naval forces into the region, but it was France's sizable contribution of a ground force that pushed the Egyptians out of the region, brought the Sultan to the bargaining table, and negotiated Greek independence in 1832.