I mean, they were literally saying "yes, this is not normal, and if we're going to do this, it must be justified.
They then went on to list the issues, to include saying they were petitioning the king, and he was not listening, and instead Parliament was passing other laws in his name.
"assume among the powers of the earth, the separate and equal station to which the Laws of Nature and of Nature's God entitle them:"
"Prudence, indeed, will dictate that Governments long established should not be changed for light and transient causes; and accordingly all experience hath shewn, that mankind are more disposed to suffer, while evils are sufferable, than to right themselves by abolishing the forms to which they are accustomed. But when a long train of abuses and usurpations, pursuing invariably the same Object evinces a design to reduce them under absolute Despotism, it is their right, it is their duty, to throw off such Government, "
"We, therefore, the Representatives of the united States of America, in General Congress, Assembled, appealing to the Supreme Judge of the world for the rectitude of our intentions, "
"And for the support of this Declaration, with a firm reliance on the protection of divine Providence, we mutually pledge to each other our Lives, our Fortunes and our sacred Honor."
So yeah, they knew the scripture, and considered themselves as living within it.
Go read the "divine Providence" and "Supreme Judge of the world" part again. Read it for comprehension this time.