That is not exactly accurate. You are saved ONLY by Faith in Christ as your Savior. The “Faith without works is dead” passage doesn’t mean that the good works are also required. It means if there are no good works, you demonstrate that you have no Faith. Those with Faith follow and obey Christ’s teachings.
Nope, read the sheep and goats passage in Matthew. People are condemned by their actions and lack of actions.
“Faith without works is dead” pretty plain scripture. To try and divorce faith and works has never been the teaching of the church.