1 Peter was written to a non-Jewish audience. Here's some evidence:
17 So I tell you this, and insist on it in the Lord, that you must no longer live as the Gentiles do, in the FUTILITY of their thinking. 18 They are darkened in their understanding and separated from the life of God because of the IGNORANCE that is in them due to the hardening of their hearts.
1 Peter 1:14, 18
14 As obedient children, do not conform to the evil desires you had when you lived in IGNORANCE. 18 For you know that it was not with perishable things such as silver or gold that you were redeemed from the FUTILE way of life handed down to you from your ancestors,
Notice that Paul and Peter link two key aspects of paganism associated with Gentiles: ignorance and futility. The Greek terms are "agnoia" and "mataios".
The other alternative is that this correlation is just a bizarre coincidence and in reality Peter believed that Judaism was a futile and ignorant way of life.
But I don't think you want to argue that! : )