> There are a tiny number of scientists with hard evidence that humans were in North America 35000+ years ago
When it comes to evidence of human occupation 35 000 years ago, calling it "hard evidence" is definitly overstating it. There is, however, solid evidence for occupation well before 14 000 BP.
The earliest solid evidence for humans habitation in North America (so far) is from 21 000 - 23 000 years ago in the form of preserved human footprints at White Sands that have now been confidently dated. There are also a few disputed, but potentially promising sites that could indicate human occupation by around 25-26 000 BP.
However, any evidence for very early occupation, say some 30 000+ years ago is only indirect, such possible but ambiguos artifacts of stone and other material, or broken bones that may or may not come from human activity, but where other, natural causes can't really be ruled out. I would not call that hard evidence.