No, you can't deny women their basic rights and pretend it's about your 'religious freedom'. If you don't like birth control, don't use it. Religious freedom doesn't mean you can force others to live by your own beliefs.
Freedom is independence of the compulsory will of another, and in so far as it tends to exist with the freedom of all according to a universal law, it is the one sole original inborn right belonging to every man in virtue of his humanity.
We have been preserved, these many years, in peace and prosperity. We have grown in numbers, wealth and power, as no other nation has ever grown. But we have forgotten God. We have forgotten the gracious hand which preserved us in peace, and multiplied and enriched and strengthened us; and we have vainly imagined, in the deceitfulness of our hearts, that all these blessings were produced by some superior wisdom and virtue of our own. Intoxicated with unbroken success, we have become too self sufficient to feel the necessity of redeeming and preserving Grace, too proud to pray to the God that made us!
They tell me: If you see a slave sleeping, do not wake him lest he be dreaming of freedom. I tell them: If you see a slave sleeping, wake him and explain to him freedom.