If there is no difference between the Father and Jesus then does that mean that God/Lord was on the earth?

I never said there was no difference between them. All I said is that both of them are Gods, with the same power and glory–but they are separate and distinct personages. Since the Savior is also a God, the second member of the godhead, when he came to earth he was God incarnate, or God in a tabernacle of flesh. Look how and angel and then Abinadi testified about him:

"For behold, the time cometh, and is not far distant, that with power, the Lord Omnipotent who reigneth, who was, and is from all eternity to all eternity, shall come down from heaven among the children of men, and shall dwell in a tabernacle of clay, and shall go forth amongst men, working mighty miracles ... And lo, he shall suffer temptations, and pain of body, hunger, thirst, and fatigue, even more than man can suffer, except it be unto death; for behold, blood cometh from every pore, so great shall be his anguish for the wickedness and the abominations of his people. And he shall be called Jesus Christ, the Son of God, the Father of heaven and earth, the Creator of all things from the beginning ..." (Mosiah 3:5-8)

"And now Abinadi said unto them: I would that ye should understand that God himself shall come down among the children of men, and shall redeem his people. And because he dwelleth in flesh he shall be called the Son of God, and having subjected the flesh to the will of the Father, being the Father and the Son--The Father, because he was conceived by the power of God; and the Son, because of the flesh; thus becoming the Father and Son--And they are one God, yea, the very Eternal Father of heaven and of earth." (Mosiah 15:1-4)

For more on this subject, I suggest you take a look at the words of the modern prophets (Elder McConkie, President Joseph Fielding Smith, etc.)

This essay is published as a support for and an extension of classroom discussion and in no way represents an official statement from The Church of Jesus Christ of Latter-day Saints or its General Authorities. Dr. Marcus H. Martins assumes full responsibility for the opinions, views, and interpretations contained herein.