Joseph Smith did not choose the name of the Church. He followed specific instruction received by revelation, manifesting the Lord's approval of "the only true and living church upon the face of the whole earth, with which I, the Lord, am well pleased" (D&C 1:30). The Church received the name by which it is known today, The Church of Jesus Christ of Latter-day Saints, by revelation (see D&C 115:4).
"The Standard of Truth has been erected," said Joseph Smith. "No unhallowed hand can stop the work from progressing; . . . the truth of God will go forth boldly, nobly, and independent, till it has penetrated every continent, visited every clime, swept every country, and sounded in every ear, till the purposes of God shall be accomplished, and the Great Jehovah shall say the work is done" (History of the Church, 4:540).
"Many objections are urged against the Latter-day Saints for not admitting the validity of sectarian baptism, and for withholding fellowship from sectarian churches," explained Joseph Smith. "Yet to do otherwise would be like putting new wine into old bottles, and putting old wine into new bottles. What! new revelations in the old churches? New revelations would knock out the bottom of their bottomless pit. New wine into old bottles! The bottles burst and the wine runs out!" (History of the Church, 4:426).