Energy transport from weak electrostatic microfluctuations, driven unstable by density and temperature gradients perpendicular to a uniform magnetic field in a Vlasov plasma, is calculated. Using the local approximation and assuming resonance broadening as the saturation mechanism, a consistent procedure is used to evaluate and compare the cross‐field energy transport due to enhanced microfluctuations from the universal, lower hybrid, and ion‐acoustic density drift, and the ion, electron, and lower hybrid temperature drift instabilities. If a temperature gradient is the primary source of free energy, the resultant enhanced fluctuations cause a cross‐field thermal energy loss rate which is much greater than the energy loss rate associated with cross‐field particle transport.