They are, in fact, part of the chosen Jewish people. But he prays that they would be saved. True knowledge is necessary for salvation. They have zeal. But it is not rooted in knowledge.
Zeal is important.
But without knowledge it does not lead to salvation. That is what this writer wants you to do. Since therefore, brethren, we have confidence to enter the holy place by the blood of Jesus, by the new and living way which He inaugurated for us through the veil, that is, His flesh, and since we have a great priest over the house of God, let us draw near with a sincere heart in full assurance of faith, having our hearts sprinkled clean from an evil conscience and our body washed with pure water. He has one simple, deep, high, holy, happy, seemingly impossible goal for us, his readers. Well, it is not hard to find out, since this is a favorite word for this writer.