The Latter Day Saints believe that God is a status or state of being. In this way, they can become gods too. If God is a person, and He is, then all bets are off and Jesus can't be God. This is similar to what trinitarians do as well, except it's a little bit of a different approach because God becomes an essence or substance this is distributed among three members. Either way, you are both calling God a thing and it's a mighty heresy.
He has said a number of things that are in lock step with LDS doctrine, such as his most recent statement.
According to Hebrews 1 God is a person and God is described as a thinking, feeling, talking person all over the Bible.
Hebrews 1 KJV
3Who being the brightness of
his glory, and
the express image of his person, and upholding all things by the word of his power, when he had by himself purged our sins, sat down on the right hand of the Majesty on high;