"Paul's concern is not so much that unbelieving Israel tries to do the law and thus make a claim upon God, but that she continues in her disobedience by not having faith in God's provision through Christ and the Spirit for obedience to the law. Thus, Paul has nothing against "doing" or against the concept of the human as "doer," but claims that outside the believing community it is impossible to keep the law." (pg. 121)
In this book, Frank Thielman provides one of the most helpful approaches to Paul and the law. He makes it clear that Paul, contrary to many in Protestant circles, is not anti-law. But, Paul sees the law through a plight-to-solution paradigm. In that, outside of the redemption provided by Christ and the renewing work of the Holy Spirit, no one can do the law.