Yes, superpowers should be involved in the matters of other countries as having the great power of being a superpower also gives a nation great responsiblity to use it for the good of the world. If a nation is a superpower, then it must accept that it must contribute to the world and mediate in another country's issues and problems.
Any country should be able to ask any superpower nation for assistance. If this assistance isn't asked for or needed, then they should only mind their own internal affairs. True peace and prosperity isn't at the barrel of a gun. If we were a more cooperative country and interfered less, we would be much better off.