On the surface, this certainly appears true. However, When looking at the evidence, one has to remember that the Bible was created in a time when slavery was certainly condoned. Pauls letters mention slavery so often because Christianity appealed to slaves. Many slaves converted to the new religion of Christianity because of Christianitys message of justice and freedom. Nonetheless, Christianity was an outlawed religion in the Roman Empire. Therefore, Paul counseled his followers, if they were slaves, to be peaceable and obedient so that further oppression would not be brought down on the heads of slaves as well as upon the members of the Church in general. The verses about obedience are not condoning slavery but are practical matters to try to prevent further suffering of Christians, whether slave or free.
So you are stating that certain passages in the Bible can be ignored as obsolete and based in a different context...