I didn't make it up, it is in the Hadith.
No, this is a lie. You said that the Prophet (sall Allahu 'alayhi wa sallam) is God's agent through which forgiveness is given. This isn't in the hadith.
I am not saying you believe what is written there.
What you said isn't written there. What the hadith says, however, is what we indeed believe. And it doesn't say what you said. It basically mentions that in the Hearafter, the Prophet (sall Allahu 'alayhi wa sallam) will ask God for certain things. And this will occur because God will allow it.
The above quotes are in disagreement. You say you don't turn to Muhammad, but your quoted explanation of the Hadith indicates that "the people will come to the Prophets" to request intercession.
What I said is that we don't ask Muhammad (sall Allahu 'alayhi wa sallam) to interced for us. And we don't, because it's forbidden since it's polytheism to turn to Muhammad (sall Allahu 'alayhi wa sallam) instead of God. So if we want Muhammad (sall Allahu 'alayhi wa sallam) to intercede for us, we turn directly to God and ask Him of it directly.
What the quote mentions is that on the Day of Judgement, when Muhammad (sall Allahu 'alayhi wa sallam) will be present, the people will go to him and ask him to intercede.
So the difference is that now we don't ask for Muhammads (sall Allahu 'alayhi wa sallam) intercession from him, since he is dead and can't hear us. But on the Day of Judgement, when he along with all mankind, will be resurrected then they will go to him and ask him to go to God and make the process of judging begin. I hope you see the difference. We don't ask for his intercession because he isn't among us and can't hear us, but we will ask him when he is present and can hear us.
What we mean by intercession for forgiveness is that Muhammad (sall Allahu 'alayhi wa sallam) will ask God to forgive his followers. It doesn't mean that we turn to him or that God's forvigeness is bound by that intercession. In fact, the only way he ever could intercede is by God's permission in the first place!
Again, I am only showing what I found in the Hadith. I haven't a clue whether it agrees with Islamic teaching or not. I am at a disadvantage in that I can only read and interpret the text as it is written. It would take years of study before I could know if the text means what it says or not.
But if you aren't qualified to deduce what Islam says about these issues, why do it in the first place? You aren't only showing what the hadith says, you're reading stuff into it.