Louis,

The more likely scenario is that the Liberals will nominate one of their own MLAs & that that person will be elected Speaker with the support of all Parties.  The Liberals will then propose the most voter attractive Throne Speach & Budget they consider possible but will be defeated, as expected, by the combined NDP & Green MLAs.

On the advice of Clark, the LG will then call on Hogan to form a Government but the newly installed Speaker will resign, as planned but contrary to convention, forcing the NDP to nominate an MLA from their side who will be elected.

The NDP will, after holding office for several weeks, present their own Throne Speach & Budget but will be defeated on a Confidence Vote & a General Election will ensue (likely in September).

The will resent having another Election so soon & some shift in votes may follow to reflect which Party they blame most.