Contrary to previous interpretations, we suggest that the anomalous arms in NGC 4258 trace the gas flow due to a bar rather than being the manifestation of a jet. Both the S-shaped morphology and the velocity dispersion revealed by the present CO measurements are characteristic of barred galaxies. In the bar of NGC 4258 most of the gas is molecular, not atomic. The molecular gas is bounded by the sharp leading edge traced in the radio continuum that is probably the bar shock with its compressed magnetic field. The shocked H emission along the anomalous arms is probably a secondary manifestation of the bar shock. In the X-ray emitting gas associated with the anomalous arms, the temperature is consistent with velocities and densities in bar shock fronts rather than in jets of radio galaxies. We suggest that the X-rays, like the radio continuum and optical line emission, are produced via the bar shock, and are unrelated to a jet from the black hole. The large extension of both the H and radio emissions out to a projected distance of kpc probably trace the hot ( K) thermal X-ray gas produced by the bar shocks which leaks out of the bar structure and eventually escapes from the disk in the z direction. We predict that with sufficient sensitivity and angular resolution, similar radio and X-ray emission will also be found in the shock fronts of other, more distant, barred galaxies.