Actually, black holes do eventually "die"...though the supermassive black holes at the center of a galaxy are constantly "fed" matter to convert into energy...but once it eats the galaxy, there's no more "food" and it "dies"
But the point is that nobody has any evidence that the universe is infinite, while there is much evidence that it is finite.
In the case of a finite universe, there is always the option of deciding whether the Big Bang was just a random event (secular) or if something caused the Big Bang to Be (religious). That is the crux of the matter, and of course the only thing that cannot be proved either way...until you die, of course
Speaking of God, I read an interesting article in Astronomy magazine dealing with time and the afterlife. The author proposed that "heaven" is in a separate hyper-time. The result of this seperation means that regardless of how much time passes in this universe/time stream, all souls arrive in heaven at the exact same time when they die...It is similar to the idea that time remains constant to the subject moving at ever-increasing velocities, but the observer(s) experience a different amount of time elapsement.