Wow, we have a harsh one here!
I'll say for the least that Islam is not gained through the place or origin one was born, or what is written on one's id. Islam is in the faith one holds.
So I'm sure you unquestinably know such people who do not deny the so-called divinity of Jesus or integrity of Bible. Yet, what is unquestinably very questinable is their faith. They are not Muslims by standarts of Qur'an or Muhammad.
And Muslims accepting Qur'an but not Muhammad is the most stupid thing I've ever heard! Give these lies to fish! And you also jump down the water if possible, especially since you say in the other topic that "Muslims believe the Ahadith and Quran are inseparable. "