"The vocal minority who argue that religion has no role in modern British society portray Catholic teaching on the family as prejudiced and intolerant to those pursuing alternatives," he says.
In particular, the cardinal highlights the Church's opposition to liberal laws on abortion and homosexuality, its defence of faith schools and its support for marriage.
He led the Church's unsuccessful attempt to block the controversial embryo Bill, which allows for saviour siblings and babies to be born without fathers.
The campaign raised questions over the role of religion in influencing public policy, but the cardinal argues that moves to silence the faith communities must be resisted.
"There is a current dislike of absolutes in any area of human activity, including morality," he says.