As is evidenced by his behavior as a businessman, as well as his statements on the campaign trail, Donald Trump thinks rules are for chumps. In his eyes, life is an unending series of confrontations in which the powerful prevail, and the weak (or deluded) suffer what they must.
Xi and Putin clearly agree with these views. The Chinese government rejects the application of international law in the South China Sea and attempts to resolve issues in its favor through direct, separate negotiations with each individual adversary, backed up by the threat of superior force. Putin, for his part, has torn up the international rulebook in his dealings with Ukraine.
Obama, and all of our Presidents of both parties since World War II, have accepted, and attempted to improve, the existing rule-based system. The TPP is a perfect example of that. The issue with a rule-based system, of course, is who is going to enforce the rules, and how. That is still a work in progress.
Her hiccup on the TPP notwithstanding, Clinton clearly believes in a world of international agreements and institutions. Whose view will prevail? That will be up to the voters in November.