It's not freedom of religion. No religion requires that you have to conceal your identity. It's a cultural thing not a religious thing. Plenty of Muslims that don't do it. Show me in the Quran where it says a woman must cover her face.
24.31 And say to the believing women that they should lower their gaze and
guard their modesty; that they should not display their beauty and ornaments
except what (must ordinarily) appear thereof; that they should draw their veils
over their bosoms and not display their beauty except to their husbands, their fathers, their
husband's fathers, their sons, their husbands' sons, their brothers or their
brothers' sons, or their sisters' sons, or their women, or the slaves whom their
right hands possess, or male servants free of physical needs, or small children who have no sense
of the shame of sex; and that they should not strike their feet in order to draw
attention to their hidden ornaments. And O ye Believers! turn ye all together
towards God, that ye may attain Bliss.
33.59 O Prophet! Tell thy wives and daughters, and the believing women, that
they should cast their outer garments over their persons (when abroad): that is
most convenient, that they should be known (as such) and not molested. And God
is Oft- Forgiving, Most Merciful.