You can twist and turn it any way you like, there WAS a vote, it was democratic, and you just keep complaining and whining about democracy when you don't like the outcome.

  The current PM's actions are quite illegitimate.

If that is so go to the courts. Otherwise whatever you say is just an empty bag of hot air.

Of course, you won't do that - because you know very well the current UK government is perfectly legitimate.

And "brexit" was voted for by the people. People like you only start complaining when they dislike the result - or please show me your similar complains when the result was to your liking, because there always are people who abstain. Only votes from people who vote count, what a huge surprise.