Besides, it's a long stretch to imagine that right-wing media convinces people to become right-wing. In my case it's rather the opposite: I've been super-over-surcovered with left-wing pro-women communication until my 30s (whether in media or in programmer conferences), I noted that the mantra "Women are oppressed all the time" didn't match what I witnessed in companies (e.g. men from GitHub CEO to Douglas Crockford and all the way down to colleagues are being fired upon unproven accusations by women), which made me investigate the topic only to find that 90% of feminists' arguments are incorrect, which made me search for more reasonable media, aka "right-wing media" according to left-wing media.
Liberals have made a speciality of accusing right-wingers of censorship. That left-wing media like Twitter resorts to censorship only reinforces the perception that the world isn't fair and severely biased with double-standards in favour left-wingers.
If anything, I wish Brexit + Trump meant the end of the ban on some ideas like discussing immigration or men's rights.