Is the Catholic Church the one true Church?
Doesn’t every religion feel they are THE one?
Does the Catholic church accept the Eucharistic and Apostolic Succession of the Eastern Orthodox Church?
Yup!!!
Does the Catholic church feel the need to re-baptize Protestants who were baptized as Protestants? (Nope) So do they recognize Protestant baptisms in the (Singular) Name of the Father, Son, and Spirit? (Yup!)
So, just as the Father recognizes the Son as divine, yet there's only one God...
...just as the Son recognizes the Holy Spirit as divine, yet there's only one God...
...the Catholic church recognizes Eastern Orthodox Eucharistic and Apostolic Succession, yet there's only one Church...
...the Catholic church recognizes Protestant baptisms, and there's only one church!
Just as God is 3-in-1, so is the church 3-in-1.
Bottom-line: You tried...but no...the Mormon church doesn't recognize anything Protestant, Catholic, or Eastern Orthodox...they re-baptize all of us three...all of us are "apostates" to them...meaning that to Mormons, we're just like what we are to Muslims, infidels...
That means that Mormonism -- in how it relates to the Christian sects -- is closer to Islam than any segment of Christianity!
Your comparison utterly failed...