Generally when American Trump/Republican supporters (I won't say right wingers, because I'm sure there's a large portion of conservatives who are not represented by the current corrupt administration) refer to the "far left" they mean the center and regular left. Their personal overton window is just so skewed that they think anything left of Trump is extremist.
Not to get too far down a rabbit hole here but the OP was referring to the "far left", which certainly doesn't own the mass media. If anything, centrists own the mass media.