The reason opinion polls say we're right wing is because the media is very right wing and hates anyone on the left and thus demonises them.
Oh come on, that's ridiculous, it's not 1982. The print media has hugely diminished in importance and due to the internet we have more sources of information than ever before from all political angles to choose from. It also ignores the fact that people often consume media which reflects their own political views rather than simply blindly selecting media and then swallowing what it tells them. And it also goes back to the current left wing dogma that ordinary people are just too stupid to understand what is good for them and shouldn't be trusted. The left wing was set up precisely to challenge views like that and it's so depressing that it has been subverted to an extent that it is actually now supporting those sort of views.
There was a survey done over the summer where they asked people about a few policies: E.g. taking rail lines back into public ownership as the franchise expires, £10 living wage, 50p tax rate on earnings over £150,000,capping rents based on location, size and inflation, and scrapping HS2. Support for all of these policies was huge, until the participants were told these were Corbyn policies.
I'm aware of that survey and I don't think it's a very reliable one. It cherry picked the least controversial policies and left out any more difficult questions. Precisely because it was commissioned by the Media Reform Coalition who have a left wing agenda and set out to get the results they did. The poll only focused on financial policy, was simplistic, leadingly worded and asked questions which did not really contain much detail about what the answers meant, but in interpreting the results the MRC have extrapolated that those meanings were implicitly understood which I don't think is the case at all, so I wouldn't read to much into it. As an example, one question was 'are you in favour of austerity'. The word austerity in itself is a loaded one, and the question doesn't expand on the meaning. MRC have extrapolated that this means people are against benefit reform. But in fact in polls where it is made clearer that is the question then benefit reform always shows very clear public support.
Thats why they are coming out of the woodwork now. But pretending that the left bully people into silence is obviously horse shit, since we dont go around doing things like throwing bacon at a mosque or painting swastikas all over a Jewish cemetary.
Thank you for illustrating my point so wonderfully. 
Describing other people's opinions as 'horse shit' and assuming that anything right of centre is immediately on the side of people throwing bacon at mosques and vandalising cemeteries is exactly what I mean. Incidentally these days I think the vandalising of Jewish cemeteries is much more likely to be done by left wingers, but that's beside the point.
You're using two criminal acts as examples of 'silencing' people. But the fact that they are criminal acts shows that nobody is silenced and in fact the full force of the state and the law condemns those actions. It doesn't prove anything about silencing going the other way. And you only really have to look at threads on here to see that.
Exactly as you have done and the OP has done, if someone expresses a view which is moderately right of centre then people on the left instantly stamp that person with the 'extreme' stamp and bring up things like bacon throwing or deportations and say 'Ah, you are not left wing so you are a racist facist'. Nobody wants to be associated with things like that, it can literally ruin your life and career. So people are just too frightened to voice moderately right wing views in public because of the vitriol that follows it. Exactly as you did in your post, associated the expressing if moderately right wing views instantly with extremist attacks.