Submission of the will to God is no more "works based" than the submission of the intellect in an act of faith.
Someone is saved as long as they toe the line.
Someone is saved as long as they have faith and love God.
That is NOT salvation by grace through faith.
It is not salvation by grace through faith alone but by grace through faith and works, i.e. through faith and love.
We don't work to get saved and we don't work to stay saved.
We get saved through faith and love. Good works are merely acts of love. But just as faith does not earn us our salvation, neither do the good works which is love in action.
In the parable of the Prodigal Son, the love of the father was always there but the son had to get up and return to the father to benefit from it. In this act of his he did not earn his father's love but only received it. We too in our actions must return to the Father. In doing so we are not earning His love, we are just receiving it.
*submission of the intellect* is not what faith is defined as by God.
Even the demons believe and tremble. They know intellectually all the facts about God.
Hebrews 11:1 Now faith is the assurance of things hoped for, the conviction of things not seen.