回答
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The American presidential election ended contrary to popular belief
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The American presidential election didn't end like everyone predicted.
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Everyone was quite wrong about the results of the American presidential election.
他の言い方もいっぱいあると思いますが、幾つかの意訳を作ってみました^^
American presidential electionの別の言い方は、
・The United States/US presidential election
・US Election(s) 2016
回答
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The US presidential election result was contrary to all expectations.
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The result of the US presidential election went against all expectations.
「米大統領選」は presidential election と言います。
「大方の予想を裏切った」は、was contrary to all expectationやwent against all expectationsなどと言えます。
contrary と against はどちらも「反対の」なので、expectations(予想、期待)と反対だった、という文になっています。