Some are saying vaccine might be 2 years or never, just like AIDS.

Why don't you not go to medical school instead and tell people about how vaccines are dangerous?

Plus, the vaccine is getting rolled out which will curb the spread tremendously.

But once Covid dies or gets thwarted by vaccines/medications etc, the safety angle changes and we normalize.

I am still dealing with side effects from Covid vaccine, I certainly don't want anyone getting sick from anything.  

something I read on this site regarding this subject is to require proof of annual vaccinations and local pet License .  

You CAN require that the resident provide documentation about local registration, licensing, and vaccination requirements.If we receive a query from a tenant, our default response is "We comply with all state and federal laws pertaining to service animals". 

It dropped 600k in one month before most could get the vaccine.

The virus is here until a vaccine come, we now know , no work around that except get it and recover.

You can check with your attorney, but I believe you can demand all animals occupying your property be current on their vaccinations and are licensed by the city/county.