Everyday I wake up and see the world. I see objects. My wife and children (they are ‘objects’ as well) share the same space and time, and objects with me. Those objects are independent of myself, my wife and children. My children fight over them. They do not disappear or suddenly change into something else unrecognizable. There is seemingly an inherent stability in the the reality of space-object-time.
While I have no evidence to proof this except that in the nearly half-century of my life (is that time an illusion?) my perception of that reality has been stable, constant. And that the intermediary objects have held constant between myself and other sentient observers.
That alone is good enough evidence for me.
If I cannot rely on the world to be consistent (I do not mean willful consistency) I will not be able to function meaningfully in it.