Let us make one thing perfectly clear

Ontario is parliamentary democracy, albeit within it's own constitutional jurisdiction. As such it is the Ontario legislature that determines who will be in the government and form the Cabinet. As in all parliamentary democracies a government is legitimate if, and only if, it has the confidence of a majority in the legislature. This majority can be made up of members of one party or, as is actually more common in western democracies, be made up of a coalition of members of several parties.

There is nothing illegitimate about a government that represents, and has the confidence of, a majority of the members of the legislature. Indeed, it is the only form of government that is legitimate within a parliamentary democracy.

It's too bad none of our political leaders are willing to stand up for democracy.