2. This Vatican Council declares that the human person has a right to religious freedom. This freedom means that all men are to be immune from coercion on the part of individuals or of social groups and of any human power, in such wise that no one is to be forced to act in a manner contrary to his own beliefs, whether privately or publicly, whether alone or in association with others, within due limits.
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 This right of the human person to religious freedom is to be recognized in the constitutional law whereby society is governed and thus it is to become a civil right.

For you well know, venerable brethren, that at this time men are found not a few who, applying to civil society the impious and absurd principle of "naturalism," as they call it, dare to teach that "the best constitution of public society and (also) civil progress altogether require that human society be conducted and governed without regard being had to religion any more than if it did not exist; or, at least, without any distinction being made between the true religion and false ones." And, against the doctrine of Scripture, of the Church, and of the Holy Fathers, they do not hesitate to assert that "that is the best condition of civil society, in which no duty is recognized, as attached to the civil power, of restraining by enacted penalties, offenders against the Catholic religion, except so far as public peace may require." From which totally false idea of social government they do not fear to foster that erroneous opinion, most fatal in its effects on the Catholic Church and the salvation of souls, called by Our Predecessor, Gregory XVI, an "insanity,"² viz., that "liberty of conscience and worship is each man's personal right, which ought to be legally proclaimed and asserted in every rightly constituted society; and that a right resides in the citizens to an absolute liberty, which should be restrained by no authority whether ecclesiastical or civil, whereby they may be able openly and publicly to manifest and declare any of their ideas whatever, either by word of mouth, by the press, or in any other way." But, while they rashly affirm this, they do not think and consider that they are preaching "liberty of perdition;"³ and that "if human arguments are always allowed free room for discussion, there will never be wanting men who will dare to resist truth, and to trust in the flowing speech of human wisdom; whereas we know, from the very teaching of our Lord Jesus Christ, how carefully Christian faith and wisdom should avoid this most injurious babbling."⁴

15. Every man is free to embrace and profess that religion which, guided by the light of reason, he shall consider true.—Allocution "Maxima quidem," June 9, 1862; Damnatio "Multiplices inter," June 10, 1851.
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  X. ERRORS HAVING REFERENCE TO MODERN LIBERALISM
  77. In the present day it is no longer expedient that the Catholic religion should be held as the only religion of the State, to the exclusion of all other forms of worship.—Allocution "Nemo vestrum," July 26, 1855.
  78. Hence it has been wisely decided by law, in some Catholic countries, that persons coming to reside therein shall enjoy the public exercise of their own peculiar worship.—Allocution "Acerbissimum," Sept. 27, 1852.
  79. Moreover, it is false that the civil liberty of every form of worship, and the full power, given to all, of overtly and publicly manifesting any opinions whatsoever and thoughts, conduce more easily to corrupt the morals and minds of the people, and to propagate the pest of indifferentism.—Allocution "Nunquam fore," Dec. 15, 1856.
  80. The Roman Pontiff can, and ought to, reconcile himself, and come to terms with progress, liberalism and modern civilization.—Allocution "Jamdudum cernimus," March 18, 1861.

There is no contradiction.