That argument has been tried before - I believe by Harper. While it may get some public opinion mileage, it has no foundation in the parliamentary democratic process. although parliament has risen, Trudeau remains the Prime Minister, even through the election. Lacking a majority of seats, either through a formal coalition or even statement of support from other parties, if they can demonstrate the numbers, either the Liberals or Conservatives can approach the GG and claim they have the confidence of the House to govern. The popular vote has nothing to do with it. In a minority situation, I have a harder time believing the Conservatives could get one of the other parties onside.