The major geopolitical implication of the Arab Spring has to do with relations between the Arab countries and the United States and Israel. The Arab countries that were run by authoritarian governments were generally more friendly to the US (and in some cases towards Israel) than their populaces would have liked. This was clearly the case, for example, with Egypt.
With a potential rise of democracy in the region, it is not clear what tack these countries will take. Their people are generally anti-American and anti-Israeli. Therefore, there are questions about the countries' foreign policies. Will they be strongly hostile to Israel and towards the United States? Might this strengthen the hand of Islamist radicals around the world? These are the major geopolitical implications of the Arab Spring.