[pluteoid]

As things stand, Cameron will be replaced by a new Conservative leader in October who will be under pressure to call a general election more or less immediately (without the present mess we were not due another one until 2020). The Liberal Democrats, our third largest party, have pledged to run an election campaign based on nullifying the Brexit vote. So it seems what you propose is going to happen, but unfortunately the "Illiberal Undemocrats" are an unpopular choice for a wide variety of reasons...

[alexbilbie]

The PM can't call for a general election anymore due to the Fixed Term Parliament Act 2011. Only a vote of no confidence in the Government by MPs or a unilateral decision by two thirds of MPs can break the five year parliament and result in a general election.

[pluteoid]

And that's exactly what we'll probably see here – 2/3 majority call for a general election. Just read the current headlines.