Novel electron states stabilized by Coulomb interactions attract tremendous interests in condensed matter physics. These states are studied by corresponding phase transitions occurring at extreme conditions such as mK-temperatures and high magnetic field. In this work, we introduce a magneto-optical Kerr effect (MOKE) measurement system to comprehensively explore these phases in addition to conventional transport measurement. This system, composed of an all-fiber zero-loop Sagnac interferometer and in-situ piezo-scanner inside a dilution refrigerator, operates below 100 millikelvin, with a maximum field of 12 Tesla and has a resolution as small as 0.2 $\mu rad$. As a demonstration, we investigate TbMn$_6\mathrm{Sn}_6$, where the manganese atoms form Kagome lattice that hosts topological non-trivial Dirac cones. We observed two types of Kerr signals, stemming from its fully polarized ferromagnetic ground state and positive charged carriers within the Dirac-like dispersion.