Uzamaki=Uchiha&Senju

[Nous]

I'm not sure but what I understand from Rikudo Sennin = Uzumaki theories are.

Uzumaki ≠ Senju + Uchiha

Uzumaki + Juubi = Senju + Uchiha

Rin'negan derived from the Juubi

 

[Honord Sage]

You can dough it all you want and keep yelling till your blue in the face and pass out,but the minuet Naruto receives all the power of the Juubi Naruto will awaken the Rinnegan and nothing you say will change that,so started getting use to it.

 

[ballerjordan]

This.

Uzumaki = S06P's clan

S06P was an Uzumaki, he awakened the Rinnegan after becoming the Jinchuriki of the Juubi.

Uchiha = Eyes of the Juubi

Senju = Body of the sage, mokuton abilities

Uzumaki = Sage's blood line