You can not pick and choose what parts to read and not read. If you use the bible to prove or disprove something than the same must be given for the opposite.

Romans 13

1: Everyone must submit himself to the governing authorities, for there is no authority except that which God has established. The authorities that exist have been established by God.

2: Consequently, he who rebels against the authority is rebelling against what God has instituted, and those who do so will bring judgment on themselves.

If you take the quote you gave from the bible than yes I would agree with your statements but if you take a broader look into the bible than you can see that anything against your government i s a sin and the government on ly comes from the authority of god. Either way you have no religious leg to stand on through the constitution since it doesn't go against religious beliefs since god sanctioned this government a nd you can't use the bible itself since it contradicts it self.

I am not a religious person but I do believe if you use the bible to prove something than the bible can be used to disprove the same thing.