Just to be clear, this wasn't some kind of random survey carried out by a bunch of vegans - this was a peer-reviewed study undertaken by the International Agency for Research on Cancer (IARC)
I'd suggest that one likely reason why the statistics of the meat-eaters weren't higher compared with non-meat-eaters was that the control group comprised a bunch of lacto-vegetarians, a group who tend to eat a higher-than -average intake of dairy products, which are themselves carcinogenic. This would make the incidence of cancer in the control group significantly higher to begin with than if they had used vegans. End result: the relative increase in risk from meat consumption is a conservative figure.
On top of this, studies looking at the risks of smoking tend to look at smokers vs those who have never smoked, whereas studies like this one tend to compare meat-eaters with people who used to be meat-eaters, rather than with lifelong vegans. Again, this skewers the results.
Nevertheless, the study concluded that the evidence that processed meat causes cancer was every bit as strong as the evidence that tobacco causes cancer. It's beyond doubt.
As for your statement about Italy, and equating raising vegan children with 'child endangerment', as far as I am aware, this was a proposition spouted by one crazy politician without any support or scientific or nutritional backing.
So, you've failed to rise to the challenge of changing my mind, I'm afraid.