You have a dictatorship police state when illusory security is considered more important than liberty. As Benjamin Franklin wisely said:
Those who would give up essential Liberty, to purchase a little temporary Safety, deserve neither Liberty nor Safety.
To me it's much, much more important to stand for basic American values such as liberty than to establish a police state where cops go around looking for people wearing the wrong kind of clothes and then, what? Arrest them and jail them for 10 years in a concentration camp for Muslims?
And, by the way, many masks cover the face so someone can't be identified. Such as
http://www.ebay.com/bhp/bullet-proof-mask for one obvious example.
But to me, a much bigger security risk comes from people who can buy guns with no background check because who knows who is carrying a fully armed semi-automatic gun ready to terrorize a community. So let's first institute mandatory checks on all gun purchases with full licensing and registration. That is a much more likely step to stop armed terrorists.