I am not sure where you are writing from, but catholic morality does not see providing contraceptive or abortion coverage as remote, Hobby Lobby won its case in the Supreme Court, and the case of the  Little Sisters of the Poor v Burwell left the Supreme Court when the justice pointed out to the Government that they had no reason to compel the defendants, which were primarily Protestants, to violate their consciences by cooperating in providing contraceptive coverage.