In slightly more detail, the plan would run like this: A right-wing third-party candidate would split the Electoral College, so no candidate reaches the 270-vote threshold. In that case, the House of Representatives would decide the winner, with each state’s delegation (regardless of population) casting two votes. Since Republicans control most state delegations, they would pick the winner, who would presumably be their right-winger, rather than Trump or (obviously) Hillary Clinton.
What gives the scenario the veneer of plausibility is that the last part of the plan is completely true. If the Electoral College deadlocked, then the House would really decide, and it really would give the presidency to the right-winger. The actual problem with the scenario is that the first part, where the independent somehow prevents anybody from gaining 270 electoral votes, is completely nuts.
Right now Clinton has the inside track to a majority of the Electoral College. Polls are a little dodgy at this early stage of the race, but most forecasters assume Clinton would win something like the states President Obama won in 2012, and perhaps some more if Trump fails to consolidate his party. That assumption isn’t terribly important. What’s important is that adding a right-wing splinter candidate would not reduce Clinton’s share of the Electoral College at all. It would increase it. Every state gives its electoral votes to the candidate who receives the most votes. If Clinton wins 51 percent of the vote in Florida, she gets all 29 electoral votes from Florida. Crucially, states do not require a candidate to have a majority in order to win the state. And a right-wing independent candidate will draw overwhelmingly from Trump’s support. So an independent would not take any states away from Clinton.
Instead, that candidate would make it possible for Clinton to win a bunch of states without a majority. States where Clinton might otherwise fall a bit short of Trump would become blue states. Suppose in a two-candidate race that, say, Texas would give Trump 53 percent and Clinton 47 percent, giving Trump all 38 electoral votes from Texas. Then Ben Sasse jumps in the race and takes 10 percent of the vote, all of it coming from Trump. Now Texas is 47 percent Clinton, 43 percent Trump, and 10 percent Sasse.
Now, Halperin raises a different possibility — that an independent like Sasse could win purple states like Florida, Ohio, Virginia, and Colorado. But that scenario is completely fantastical. Winning purple states that Democrats have won each of the last two elections is hard. Doing it without a major-party label, and while splitting the vote with the Republican candidate, is impossible. Neither Ben Sasse, Bill Kristol, nor the reanimated corpse of Ronald Reagan is going to win a three-way race against Hillary Clinton in any purple state when Donald Trump is taking conservative votes and running under the Republican banner. The third-party candidate could push any number of states to Clinton, depending on how well they perform, but they're not going to take any states away, which is the element required to make the plan work.