If the Law is an inadequate source of guidance, to what source of guidance does Paul point in Romans 8?

In the Letter of Paul to the Romans, Paul is making his
strongest argument for the case that the old ways no longer apply. The following of the
Jewish rabbinical laws and traditions has been superseded by the example and teachings
of Jesus, and what Jesus taught was that the way to God was through faith in God and the
acceptance of the guidance provided through the Holy
Spirit.

For
the law of the Spirit of life in Christ Jesus has set me free from the law of sin and
death. (Romans 8:2, RSV)

Paul
goes on to explain that believers have a new set of standards by which they should
structure their lives - the expectations set by the Spirit. Those who live according to
the law, which Paul equates with living "according to the flesh" (Romans 8:5), are
living into patterns based on sin and separation from the will of God. Those who "submit
to God's law" (Romans 8:7) will be united with God and Jesus, through the power of the
Holy Spirit.