Did Americans expect that Quebec would become an independent state at the end of the war if America won? Were the Canadian territories looked at any differently from the American ones? What was the goal of the Canadian campaign?
There's always more to be said, but you may find some answers about the status of the British N. American colonies in Canada in this thread by u/enygma9753.
The Continental Congress sent Quebec an invitation to join the revolution, but it was rebuffed. America had incorrectly anticipated that the Quebecois would seize the chance to throw off the yoke of British rule. But, the French Canadians had lived in peace under British rule for some 15 years by then -- with guaranteed rights to property, language and religion. The 1774 Quebec Act, which the Thirteen Colonies found to be intolerable, had ensured that Quebec would remain largely in the British camp or at least indifferent to the Revolution (although the Patriots did find some local sympathizers and even raised Quebec units to fight with them).
Both the political and religious elites in Quebec were in favour of the British Crown and urged the locals to remain faithful to Britain. Church officials would deliver sermons denouncing the republicanism of the Patriot cause as the path to anarchy and chaos. The Quebecois weren't fond of their British rulers -- but they trusted the Americans even less. Benedict Arnold's failed invasion of Quebec in 1775 convinced most of the population that the Patriot cause wasn't theirs and that they were better off as British subjects. The vague offers of liberty from America held less appeal, when compared to the rights -- enshrined in law -- that they had already enjoyed under British colonial rule.