Yes, the United States has an interest in Syria, because with the unrest in Egypt, the United States is losing allies in the Middle East. This creates a problem, because the United States has to defend Israel in the event that Israel is attacked. The United States has given weapons away in the past, which has backfired, so we should be careful.
I personally think that the U.S. has interest in Syria because they want to see what they have to offer. I personally think that the U.S. has interest in Syria because its a different country to look more into collaborating with Syria because it could be a country that has a lot to offer the U.S.