"So, at the end of the day, who is going to maintain and enforce those inalienable individual rights? What happens if I trample on your individuals rights?"

The state will. "Laissez Faire Capitalism in it's most basic meaning as a separation of production and state." I don't expand on this. I realize now I should have because this is not obvious.

Under Laissez Faire Capitalism the purpose of state is to protect inalienable individual rights. The meaning of separation of production and state is the separation of merit seeking and violence. If you seek merit, you can only do so through production, peacefully creating value. Then force is sanctioned and constrained to only the state, which the role of the state is to be as minimal as possible and to protect inalienable individual rights. Force is constrained to only be used in defense of violation of rights. Laissez Faire Capitalism is a philosophy which fundamentally rejects the ability to use of aggressive force to gain merit.

This web page goes into further detail. http://capitalism.org/capitalism-tour/

I do lump all philosophies which allow merit seeking through violence into one category. Which most certainly the gap between Nazism and Modern Democracy is massive, even though they both permit merit seeking through violence. But I do it to highlight that Laissez Faire Capitalism is not just different, but is actually in a completely different league and category of morality as it' fundamentally rejects merit through violent aggression.

Thank you for the comments, I edited this back into my original post.