'Submit to' in the Bible
Do you not know that when you submit to being someone's slaves, and obeying him, you are the slaves of the one whom you obey, whether your slavery is to sin, and leads to death, or is to obedience, and leads to uprightness?
Abandonment to earthly things is a state of enmity to God. Such a mind does not submit to God's Law, and indeed cannot do so.
For ignoring the righteousness that comes from God, and seeking instead to establish their own righteousness, they did not submit to God's righteousness.
Everyone must submit to the governing authorities, for there is no authority except from God, and those that exist are instituted by God.