@Grendal is correct. If there is life on Mars it will be fundamentally different from anything on Earth. And interspecies viral transmission on Earth is incredibly rare. There are about 38,000 described species of mammals, birds, amphibians and reptiles (plus over 1 million insect species) and only a tiny fraction of those have been shown to transmit viral, bacterial, and fungal infections to humans. The MN Dept of Health web page you linked to makes clear that it is indeed rare.
a question.
Have you or anyone you know ever had _seasonal_ influenza?
where do you think it originates?
would you care to revise the portion of your comment I highlighted?