There is no place for God in the dystopia of Brave New World, since no deity is needed; the very concept of God makes no sense in the culture.
As Mustapha states, "God isn't compatible with machinery and scientific medicine and universal happiness. You must make your choice. Our civilization has chosen machinery and medicine and happiness."
Thus the parody of "Our Lord" into "Our Ford," referencing Henry Ford (1863-1947) one of the first manufacturers to standardize parts to mass-produce automobiles in the early 20th century. In the book, he's seen as a Christ-like figure, the founder of material abundance. Mass production in the culture has created material wealth; there is no want, so there is no need for petitioners to pray to a deity for provisions, only to thank Our Ford. Interestingly, mass production requires conformity of components; the conformist principle is rigidly applied to individuals in this culture, so that the culture can function smoothly.