You haven't provided a single piece of evidence for their existence in the real world. If you did check you would find they never existed anywhere. Don't be typical christian who blindly accept what the bible tells them without doing any fact checking.
Hopefully this will be an eye opener for you and a small step in discovering bible is fiction.
I know you are dodging my questions to save face but do ask yourself what is just in going after the infants and animals? Would you really kill babies even if someone wronged you? That's what animals do and you would be are lowering yourself down to their level.
A god that commands such barbaric acts is no god.
I think God, the creator of all things, indeed has the proper authority to judge his creation from the free will decisions they make. A being with that authority absolutely is God. Creation is a truth seen in everything that we see and this is biblically and scientifically evident.
You not seeing any evidence yet in your modern bubble actually promotes the truth behind eliminating the Amalekites as a whole. If we have no trace either the bible is true or the bible is false. There is plenty in the bible we can verify here in the modern age and I refuse to believe that some of the bible is true and some of it is false. You can cherry pick as an unbeliever, but I won't.
We still see discoveries made and will see more discoveries made and you just might see something come to light about the Amalekites. At the end of the day it appears your faith won't budge no matter what we see unfold behind the truth of the gospel.