https://www.theweek.co.uk/100429/brexit-polls-how-the-mood-has-changed-in-britain-in-three-charts
55% would vote Remain
45% would vote Leave
Support for a 2nd Referendum: 48%
Oppose a 2nd Referendum: 36%
So, a hard Brexit is going against the will of the people (as is May's negotiated deal).
I do think one of the great ironies in this ordeal - conservatives oppose a 2nd Referendum, and insist on upholding the first vote - but they are the same party that has insisted on 2 votes on May's deal, and really want a 3rd vote in parliament on the exact same deal - instead of honoring the results of the first vote....