Answer: They believed there was only one god and did not worship the emperor.
Explanation: Early Christians believed that there was only one God whom they worship, unlike the Roman leaders who were pagans and believed in more gods. The period of early Christianity implies the time of persecution of Christians until Milan Edict 313, when Christianity gained equal status with other religions in the Roman Empire. This persecution of Christians during early Christianity was precisely the refusal of the Christians to reject one God and worship idols, as the Roman leaders demanded. Since the Roman Emperors had the status of demigods or even gods, Christians were required to worship emperors at the level of deities. For Christians, of course, this was a severe idolatry, and they rejected it with disgust, for which they were very strongly persecuted and killed. Peter and the Paul were one of the apostles, the leaders of the Christian, who also worship one God, so they were not the only authorities of Christians, but spiritual teachers and leaders.
both stress the importance of individual liberty
The three rights that were mentioned were rights to life, liberty, and the pursuit of happiness, and that men organize into governments in order to protect these rights. If a government should infringe upon these rights then they should be replaced since they need to have the will of the governed behind them in order to ensure the existence of these rights.