A contract exclusively between party A and party B is non-binding on party C
Of course not. You are 100% free to leave the US and find some ungoverned piece of land and start your own government. However, within the confines of the US, if you choose to stay, you IMPLICITLY agreeing to the law of the land.
I have at no time entered into and am therefore not a party to any contract, written or verbal, which establishes me as subject to the rule of the U.S. Federal government.
See above. Simply by being here you are implicitly agreeing and obligated to follow the law of the land.
Premise 5: The U.S. Federal government, via standard operating procedure for such, routinely and deliberately in the course of enforcing its own laws, restricts and curtails the freedoms of life, liberty, and pursuit of happiness of what it defines as its citizens.
How does it restrict life? Liberty is not absolute. What kind of happiness are you not free to pursue?
Presmise 6: I fall under the definition of a citizen of the United States of America, more exactly a natural-born citizen, who did not immigrate to this country.
Conclusion: The U.S. Federal government routinely restricts and curtails what it itself claims are my inalienable human rights, and without any contractual basis to do so.
I believe the logic is sound and the argument is therefore valid, but if you have issues with one or more premises, let's rumble. ;-)
Perhaps you misunderstand that the declaration of independnce meant. In any case, it was declaring to britain the intentions of the new nation. Your rights are enumerated in the first 10 amendments to the constitution. Regardless, no one is keeping you here or preventing you from attempting to change the laws of the land via the established process.
The logic of each step is sound in a microcosm, but where it breaks down is that there is no contractual basis for you to stay and nothing preventing you from trying to change the laws should you wish to do so.