A missile defense shield in Europe will help protect against Russian aggression. It is politically beneficial because it can help make sure that citizens of Europe feel safe. The people of Europe will support a defense shield, so it will be politically beneficial for the representative in government who support its creation.
Yes, a European missile defense system is politically beneficial, both to Europe, and to the United States. With Europe's location, so close to the Middle East, it is important that Europe be able to defend itself. Although the European missile defense system will likely cause some animosity with Russia, knowing that Europe can defend itself will deter both Russia and Middle Eastern countries from instigating military action against Europe.