If the Conservatives see that the majority of their voters seek to leave the EU, and if in the election you hypothesise the Conservatives are returned with a majority, and the pro-EU faction is sidelined; then in those circumstances a "Brexiter government" would be possible, and it would not need the participation of Lab or Lib Dems to form an administration.Weeeell... Cameron won't be standing for PM again ANYWAY; this referendum is his swan song.
As for a "Brexiter government"; the Conservatives, Labour, and the Liberal Democrats are ALL pro-EU, so even if the electorate "punished" the Conservatives in the next General Election (possibly an early one triggered by a vote of no confidence), then whoever gets in will - in my opinion - continue with the trick of sidelining the referendum vote with procedural trickery.
However, I really don't think that, even in England, the Brexit side has the support attributed to it in the rightwing press.