I decided to take a look around on this, and I've discovered a number of things.
First, there have been a lot of postings on this in various forums within the past few days. Some of them sound like press releases by Wildberger.
Second, Wildberger is starting his own publishing company, and surprise, surprise, this is the first publication of the company.
Third, Wildberger has received some grant money for other items, so he may not be a complete crackpot.
Finally, on other discussion sites, the comments that make the most sense point out that Wildberger's approach may not fly. Basically he replaces distance and angle by quantities that are distance squared and sine squared of angle. Sure, this does wonders for trig, but it does serious damage to calculus.
I didn't realize that by casting an abstention, I would be hiding the article. If someone wants to unhide it, please do so, but please delete this paragraph out of my comment. I don't believe that solarmist is connected to the author--this person probably saw the story elsewhere and decided to share it with us.