"nothing in the middle" is a blatant lie and hackernews discussions are much better when they are backed by facts and logical arguments rather than political clap trap.
A median says close to nothing about repartition. That's not a fact that you can use in a logical argument against your opponent's claim about repartition.
There's quite a few households and quite a lot of people between $35k and $100k. The claim that there is no middle class is blatantly, provably false. The very, very top has a lot. I don't think anybody is disputing that (I'm certainly not). But there are a lot of people who make a solid, middle class income.
The share of total national income for the middle class has been in decline for 50 years. The piece of the pie that the middle class represents is shrinking.
You're assuming the poverty line is a relevant metric. And regardless of the accuracy of that assumption, you still don't offer any information on the income spread over percentiles, nor a source for your one claim.
> In 2015, in the United States, the poverty threshold for a single person under 65 was at an annual income of US$11,770; the threshold for a family group of four, including two children, was US$24,250.
This is false. 15 percent in the US are at or below the poverty line. The remaining 85 percent certainly aren't at the top.