The Judgment seat of Christ is the judgment for believers.
The general judgment is for unbelievers, who, yes, will be judged by their works.
If someone rejects Jesus and the offer of forgiveness and eternal life He extends, and would rather go on their own merit, they will be judged as they want, (by their works) and it isn't going to end well because there is none righteous, and their sin will damn them.
People need to be careful what they ask for.