With its borrowings from the left and the right, the Libertarian party and its presidential nominee, Gary Johnson, may have an impact on White House race this fall. While it has next to no chance of winning, its rising appeal might affect the race.

Would the Republicans or Democrats benefit? Hard to say, because in an unusually polarized year, the Libertarians’ ambidextrous appeal could draw disaffected voters from either side.

“We’re fiscally conservative and socially liberal,” says Johnson, 63, who served two terms as the Republican governor of Democratic-dominated New Mexico. For instance, he wants to radically overhaul taxes and keep legalized abortion. If the Libertarians did win, he would drastically change the economic status quo in a way that would please the right end of the political spectrum.

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The Libertarians typically get about 1% of the popular vote. But this year, the dual-personality party has a decent chance of scoring in the mid-teens.

That’s because the two major party nominees—Hillary Clinton and Donald Trump—have big negative ratings in the opinion surveys. And it’s also because both parties have become more ideologically purist (although Trump has some unorthodox views for a conservative, such as his opposition to free trade). Flawed candidates and political polarization may leave a lot of voters searching for an alternative.

The latest RealClearPolitics average of nine national opinion polls finds that Johnson sits at about 8% of the vote. Green Party contender Jill Stein is at 3%. Most polls you read measure just Trump vs. Clinton. But when the surveys include Johnson and Stein, as measured by RealClearPolitics, Trump’s and Clinton’s numbers each drop by four percentage points.

Some polls show Johnson in the low teens. If he clears 15%, he would be allowed into the televised national debates. (His current scores are a big improvement from the 1% he tallied in the November 2012 election balloting, when he first ran as the Libertarian candidate.) In the past, third-party candidates occasionally have had an influence on the vote, particularly George Wallace in 1968 (helping Richard Nixon) and Ross Perot in 1992 (aiding Bill Clinton).

But in the end, national vote totals are of secondary importance. Who takes which crucial state, in terms of electoral votes, is what matters. Johnson could sway the election by siphoning off enough support from Clinton or Trump to swing a battleground state.

The Wall Street Journal/NBC/Marist poll of battleground states has Johnson with respectable showing in four battleground states: Colorado (12%), North Carolina (9%), Virginia (12%), and Florida (9%). Of these, Florida is the top prize: Its 29 electoral votes make it—along with Democrat-heavy New York, which has the same number—the third largest trove. No. 1 California (55 electoral votes) is an almost certain Democrat win, and No. 2 Texas (38) is thought to be in the bag for the GOP.

If Clinton and Trump repel many voters, Johnson at least comes across as likable and articulate, and disarmingly goofy. In an appearance on Samantha Bee’s TV show, Full Frontal, the rubber-faced Johnson, former CEO of legal marijuana distributor Cannabis Sativa (Libertarians are for legal pot), made faces and wisecracks. At one point, he made an animal noise. “I think you’re too freaky-deaky to be president,” Bee said.

The Libertarians’ curious mix of conservative and liberal positions can induce ideological whiplash among voters used to the hardline liberalism and conservatism of the major parties. The libertarian stances that tilt to the left are less directly oriented toward your wallet. Examples: in favor of gay marriage, against government snooping, and skeptical about military interventions.

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If Gary Johnson were to win, these are the pocketbook issues he would push:

Replace the tax code with a single flat rate. To Johnson, and Libertarians in general, the best course is to wipe out the personal and corporate income taxes, and abolish the Internal Revenue Service. As is, the tax laws are so complicated that they distort economic growth, Johnson argues.

The candidate wants to replace the multi-tiered U.S. tax system with a single flat rate of 23% on consumption, a sort of national sales tax. Thus, the plethora of tax deductions would be a memory. That way, the reasoning goes, there would be no need for an IRS to oversee tax collection because it would be so easy. Johnson predicts that simplifying the tax law would lead to an explosion of economic activity.

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