Recently, neutron-star structure has been explored using crossover equations of state implemented through switching functions that provide a gradual transition from pure neutron matter to massless quark matter. The parameters of these switching functions were constrained to support neutron stars with masses of roughly two solar masses while ensuring that the adiabatic speed of sound remains below the speed of light. Subsequent work extended this approach by including the effects of color-superconducting quark matter in cold, dense environments. In this study, we examine the crossover transition in hybrid compact stars using an equation of state that takes into account hadronic matter with nucleons, hyperons, and $\Delta$-isobar degrees of freedom as well as a quark phase with the inclusion of non-perturbative effects and leptons in $\beta$-stable equilibrium.