If salvation is determined by "foreseen" faith, how is that not a work of righteousness on the part of the sinner?
IIRC you are one of the few Arminians who actually admits that WOULD BE a work of righteousness.
However, you are then left with contradicting all of Romans 8 and 9.
Men sin every day of their lives. We cannot stop sinning, and thus, we cannot ever atone for our sins because while we may ask for forgiveness today, tomorrow we'll go right on sinning.
Fortunately for us, Christ stands between us and the perfect judgment of God. Christ shoulders our guilt and pays for our sins Himself, every one of them, today's, tomorrow's and yesterday's. So now we stand blameless before God, NOT because of our own righteousness (of which we have none), but because of CHRIST'S righteousness.
The distinction is profound and explicit.
Romans 4:2-5 is very clear on what a work is,
For if Abraham were justified by works, he hath whereof to glory, but not before God, Now to him that worketh is the reward not reckoned of grace, but of debt. bot to him that worketh not, but believeth on him that justifieth the ungodly, his faith is counted for rightousness.
Faith is simply trusting in what God has said about His Son, the Lord Jesus Christ in the scriptures (1Cor.15:3-5, Rom.10:9-10)