If you plan to do business in the US through a permanent establishment there, there are better solutions than a zero-tax LLC.
The trading LLC
Unlike the zero-tax LLC, this version of the LLC carries on business in the US. Its profits are therefore taxed in the US. The most common users are, naturally, US citizens or US residents who run a business in the US.
If you want to form a US partnership, the limited partnership is the legal form to look at. More on that further down this page.
Corporation
The C-Corporation is a rock-solid stock corporation, and the form to look at if a company wants to set up a US subsidiary for its entry into the US market. The corporation pays corporate income tax at federal level and at the level of its state of formation, and the state rates vary considerably.
Limited partnership
The limited partnership suits you if you are commercially active in the US but would rather form a partnership than a corporation.