The church claims the mission of bringing mankind unto Christ. In one sense they do, but perhaps not in the way they believe. Galatians 3:24 says Wherefore the law was our schoolmaster to bring us unto Christ, that we might be justified by faith. No one stresses law keeping and obedience like the church, so they represent this form of instructor as much as the OT priesthood did. With their emphasis on proper doctrine and rules of virtue and piety, the church is a perfect reflection of the Mosaic law system. So yes, the church leads to Christ in the same way the law was supposed to lead.
However, once we get to Christ and hear and embrace His message and example, we no longer need the instructor. That is because the instructor taught by way of contrast with the instruction of Jesus. Jesus said the law says this but I say unto to you otherwise. There is a better way, apart from laws, just as Paul sought in Philippians 3:9 And be found in him, not having mine own righteousness, which is of the law, but that which is through the faith of Christ, the righteousness which is of God by faith. The righteousness found in Christ is the antithesis of that proposed by the law and the associated obedience.
The fact that the first century church was teaching obedience as a requirement for righteousness is just another indication that the church of the NT had not yet fully come to Christ and was still under the law instead. This is in perfect agreement with Hebrews 8:13 which says that the Old Covenant with its law was ready to vanish away. Law/obedience was still a part of church instruction as the church operated temporarily to complete the process of bringing men unto Christ, at which time they would operate apart from law.
The church of the first century fulfilled its mission(Romans 16:26; Colossians 1:6, 23). The institutional church of the subsequent centuries has attempted to practice in the same completed role. To the extent they ultimately cause people to realize the fruitlessness of seeking the righteousness in Christ by obedience, they still serve God's purpose.