Spin-transfer torques provide a direct means of controlling magnetic equilibria, damping, oscillation frequencies, and non-Hermitian mode dynamics. However, when damping-like and field-like torques act simultaneously, their distinct roles in the static and dynamical response are not readily apparent in the original Landau–Lifshitz–Gilbert (LLG) equation. Here we derive an affine tangent-plane linearization of the LLG equation with both torque components, which separates the inhomogeneous term responsible for the current-induced equilibrium displacement from the homogeneous non-Hermitian matrix governing local precession and stability. This formulation provides a transparent and directly testable separation of the static and dynamical roles of the two torque components. From the trace and determinant of the dynamical matrix, we show that for small-amplitude oscillations, the damping-like torque predominantly controls the decay time, while the field-like torque shifts the effective restoring coefficients and therefore tunes the oscillation frequency. For the minimal angular torque form considered here, the transverse component of the spin polarization controls the leading static displacement, whereas the longitudinal component enters the homogeneous operator, controls the leading torque-induced corrections to the decay rate and oscillation frequency, and affects the displacement only at higher order. The stiffness matrix K is identified as the conservative response kernel that maps spin-torque forces onto equilibrium magnetization shifts. The damping-like and field-like torques generate orthogonal driving forces, but their induced displacements are generally nonorthogonal due to anisotropic stiffness. Finally, we analyze exceptional points (EPs) of the non-Hermitian linearized dynamics and show that the torque combinations CI and CJ separately govern the stability of the coalesced mode and the eigenvalue-coalescence condition. Tuning one conservative tangent-plane mode close to softening strongly reduces the current required to reach an EP and, with the appropriate current polarity, realizes a stable EP with ReλEP < 0. At this point, the defective and highly non-normal dynamics produces pronounced directional transient amplification followed by asymptotic decay, whereas an unstable EP with ReλEP > 0 exhibits growth until nonlinear magnetization dynamics takes over. Direct integration of the LLG equation quantitatively confirms the predicted precessional dynamics, equilibrium displacement, EP spectra, mode conversion, and time-domain response. These results establish an LLG-based framework linking STT symmetry, magnetic stiffness, and current-controlled non-Hermitian magnetization dynamics.