What is "faith alone"?
Do you mean Christians? Eph 2:8
...saying that all we need to do is continually surrender ourselves to Christ in mind and deed? Because that would make perfect sense to me.
For what purpose? Jn 3:36, Ro 6:23
...[S]urrender is prompted by the drawing of the Father, but has to be made willingly and has to be genuine.Be willing (Mt 23:37).
There is no such thing in the NT as just belief.You come as you are not as a super duper, cleaned up Christian (Ro 10:9). You come by grace (Ro 5:17–21) through faith (Ro 3:26, 27).
Salvation is by "grace" through "faith". So that's two different mandatory things that must be fulfilled.
You do the sinning. He does the saving. Jn 3:16
Faith as the noun is at best barely understood. But faithing the verb...All you can do is believe (Ac 16:31).
See:
Monergism vs. synergism—which view is correct?