A full-stack modeling study is conducted against three types of 2-qubit (quantum bit) entangling logic operations that are implemented with a realistically sized electrode-driven Silicon (Si) quantum dot system. Using device simulations based on the bulk physics augmented with electronic structure calculations based on the effective mass theory, we computationally explore the design of a fast SWAP1/2 (S1/2), Controlled-Z (CZ), and Controlled-X (CNOT) gate, and particularly study their operational sensitivity to the charge noise that is fundamentally not easy to be removed from semiconductors. Our results indicate that a recently reported one-step CNOT logic that is implemented with a single microwave pulse, is much more sensitive to the noise than S1/2 & CZ gate are, recommending basic entangling blocks that would be desirable for designs of quantum circuits based on a Si quantum dot platform.