To begin with, we don't even agree on our understanding of what an association is or what comprises idolatry. Without providing any evidence you alleged that simply having to mention the prophet's name in the Islamic creed is idolatrous. It's your personal opinion; I understand, but when you're trying to prove something you should at least give some sort of proof. On the other hand, when I said that worshiping a "person born of a virgin" is idolatry you casually denied it, again without any evidence. I don't know what to conclude from this. How can you expect me to faithfully answer your questions when you're not even willing to acknowledge the obvious? In such a case members won't see any benefit in responding to you, other than, of course, a reward from God for their efforts.
Anyhow, let me put this differently. Christians recite the Apostles' creed or the Nicene creed just like Muslims say the shahadah. Both the creeds in Christianity contain the statement "I believe in the holy catholic Church, the communion of saints". So would it be fair if I tell you that you're associating the church and saints with God in worship or that mentioning them alongside God is idolatry? Using your line of reasoning, I'd say yes.