I respect your right to do whatever you want, but this information may help a bit.
1. The Spaniards are the ones that brought disease over, not the mexicans (rather large difference between the two).
2. Typically only infected meat will give you salmonella, emphasis on infected. However, the chances of getting it increase quite a lot when it is ingested raw, hence why it's better for your health to cook it first.
3. After a bunch of Google searching and consulting with someone who went to medical school, it's likely what you are experiencing is food poisoning, caused by eating undercoked/raw meat. Most likely the sickness you experience is either E. Coli, Salmonella, or Listeria, depending on the source of the illness and symptoms you experience. The only real way to avoid it (as far as i can tell) would be to stop eating raw meat.
Hope this helps!