The Right Groups of Ahlus-Sunnah?

This particular discussion really frustrates me. I recently got into the debates about the right group of Ahlus-Sunnah. Probably I will not repeat to research these discussions again. It is just frustrating to see Maturidis, Asharis and Atharis debating whether, who is Ahlus-Sunnah and who is Ahlul-Bidah (from an Aqeedah perspective). The question: Are there scholars, who affirmed that all those three groups (Atharis, Maturidis, Asharis) are Ahlus-Sunnah Wal Jamaah? (meaning in the technical definition, not in the meaning of being other than Shia) Additional thoughts: This debate really only creates division, if is debated under laymen. Also, if we exclude one of those groups, a large percentage of the Muslim Ummah will fall under the category of Ahlul Bidah out of nowhere in opposition to this Hadith: > And [it is reported] in al-Tirmidhi from Ibn ‘Abbas, he said: The Messenger of Allah (Allah bless him and grant him peace) said: “The hand of Allah is with the Jama‘ah.” [It is] an uncommon hadith. So the majority of Muslims can’t be misguided in this issue. Everyone, who excludes one large group, must explain this particular point.