OK, so then you would consider the Methodists and the Lutherans to be two separate religions? I'm not sure what is technically proper. I've always thought of the above as different faiths within the religion of Christianity (along with Catholicism as another faith).
It would be a judgement call as to the differences between the two. There is one heck of a difference between Islam and Hindu; there is less difference between Sikh and Hindu.
Some Lutherans are more Catholic than some Catholics; I would say that the Wisconsin Synod Lutherans and the more liberal Methodists are almost to the point where they are separate religions.
Conservative Lutherans and Methodists, nope. Sects of the same religion. I don’t have the immediate knowledge of the liberal wings to state anything with any accuracy.