I clicked on a few links and Googled a few names. It's roughly what I'd expect: People with few publications now working in other fields, people without scientific publications, but university degrees, people who regularly speak at events from radiation critics, people who are invested in other fringe theories.

People get fooled by "large lists of peer-reviewed publications". Peer review is a lowest level quality mark for a piece of science. It means that hopefully it's not complete bullshit. Sometimes it still is, because noone can forbid you to call your journal "peer-reviewed" with your own weak standards of peer review. And sometimes credible journals make huge mistakes (remember the "Wakefield-study"...). Even with only well-performed, non-flawed studies you'll always have some studies saying that something is there that actually isn't. That's simple statistics, you'll have outliers.

"Here's a large number of studies saying X" is meaningless in a topic where a very large number of studies have been done. What you need is systematic reviews of the literature that not only count studies, but evaluate their quality and combine their results.

Also it's not true that "nobody knows why" cancer incidence has risen. It's a mixture of people getting older and diagnosis getting better. Not mysterious at all.