While we're at it, the "Remainers are an enemy of democracy" rhetoric is equally overblown, for two reasons: firstly, referendums are not a part of traditional UK democracy -- and, until that changes, holding them is meant to *kill* an issue, rather than resolve it. In that sense, having the referendum in the first place was arguably anti-democratic, as it was held for dubious and dishonest reasons.
Secondly, Parliament is the seat of democracy in this country, and MPs are meant to represent their constituents, about half of which will, on average, have voted to Remain. They too have a voice, that cannot and should not be ignored.
Thirdly (yeah, I know I said two), it's worth pointing out that all Brexit-related legislation has passed the house with almost no amendments. The Article 50 Act went through unamended; the recent Great Repeal Bill did have several attempts at amendments, all but one of which was defeated, and so on and so forth. Even if one or two more of those would have passed then the basic principle of Brexit would still have gone through. None of this exercise is anti-democratic.
In fact, May's various threats that her legislation must be passed free of amendment (and therefore effectively without any meaningful scrutiny) really *are* undemocratic, as they are cynical attempts to cut Parliament out of the picture entirely.
It's alarmist nonsense to speak of attempts to shape Brexit, to shape the future of this country, as undemocratic, or anti-democratic, or the like, just because you are a Remainer. People who are moaning about the death of democracy evidently don't seem to understand how it works in this country.