Yes, we should obey God but first we need to know what to obey. God has laws for every man on earth given to Noah, he has laws for the Jews specifically, some specifically for Jewish men some for women, some specifically for Jewish high priests. But the old covenant is done away with by Jesus's death on the cross and we have the command to love God with all our heart, and to love our neighbor as we love ourselves (also Acts 15:20). If we love God we would love his word and try to learn and study it as best we can so that it may be true what Jesus said "Man shall not live on bread alone, but on every word that comes from the mouth of God."