That is not true. The light reaching us from most objects in our and nearby galaxies is pretty close to the original wavelength emitted. It takes extremely relative velocity to red shift for visible wavelengths to shift to infrared.
Most stellar objects emit a whole bunch of wavelengths of light, some emit more IR than visible. Interstellar dust doesn't red shift light due to velocity but because the molecules absorb higher energy photons and re-emit lower energy photons.
Most stellar objects emit a whole bunch of wavelengths of light, some emit more IR than visible. Interstellar dust doesn't red shift light due to velocity but because the molecules absorb higher energy photons and re-emit lower energy photons.