I just don't see how you one can say "company A has no right to decide what appears on company A's servers" without following up with some watertight legal or moral reason why this should not be the case. Of course they should be able to.
That's because left wing media does not, in fact, exist. The only types of media that actually exist are right wing media and media that's not left enough. That's a fuzzy distinction to be sure, but it makes the bias clear enough at least.
I think you and I disagree significantly on this foundational fact to the point where there's no use debating downstream arguments.
I see the media fully supporting Clinton while bashing Trump. That's left wing bias in my mind (regardless of my support of either candidate). Once you include online media, the left leaning bias is even more significant. Twitter in particular (I know they're not discussed in the OP) have been very aggressive about stamping out right wing speech.
Anyone who thinks Clinton is left wing is just totally out of touch with reality.