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"Forgetting the crude analogy for the moment, can you find one instance in Scripture where Jesus claims to be equal to His Father?"

How about Matthew 28:19?

The problem is with your question, not with the Catholic answer. You see, the problem with simple people self interpreting is that you get over simplified interpretations.

There is a significant difference between saying there are three consubstantial hypostases in the Trinity, and there are three co-equal persons. Jesus is not equal to the Father, Jesus is God, as is God the Father and God the Holy Spirit.

Your bible is missing Matthew 28:18?

Matthew 28:
18 And Jesus came and said to them, "All authority in heaven and on earth has been given to me.
19 Go therefore and make disciples of all nations, baptizing them in the name of the Father and of the Son and of the Holy Spirit,

"Your bible is missing Matthew 28:18?"

Definitely not. Jesus announced that He was speaking as God, but the translation of the word "power" is problematic without an understanding of the original Greek meaning. What do you think its deeper exegestic meaning is?

Matthew 28:19 Go therefore and make disciples of all nations, baptizing them in the name of the Father and of the Son and of the Holy Spirit,

Note -- the Trinitarian God. Do you as a Unitarian (your tag says "Biblical Unitarian") believe in this Trinitarian concept? God as a Triune God: Father-Son-Holy Spirit?