Eleven years after the planting of the first colony, Roger Williams came to the New World. Like the early Pilgrims he came to enjoy religious freedom; but, unlike them, he saw—what so few in his time had yet seen— that this freedom was the inalienable right of all, whatever might be their creed. He was an earnest seeker for truth, with Robinson holding it impossible that all the light from God's word had yet been received. Williams “was the first person in modern Christendom to establish civil government on the doctrine of the liberty of conscience, the equality of opinions before the law.”—Bancroft, pt. 1, ch. 15, par. 16. He declared it to be the duty of the magistrate to restrain crime, but never to control the conscience. “The public or the magistrates may decide,” he said, “what is due from man to man; but when they attempt to prescribe a man's duties to God, they are out of place, and there can be no safety; for it is clear that if the magistrate has the power, he may decree one …
"And ye shall know the truth, and the truth shall make you free."
The EGW passage discusses Roger Williams' advocacy for religious freedom and liberty of conscience. John 8:32 states that knowing the truth will make you free. The connection lies in the idea that religious freedom, as advocated by Williams, is a manifestation of the freedom that comes from knowing the truth.