I would suggest that should God exist, and if we survive our technological delinquency and continue our evolution, our knowledge of God will evolve along with us. I say it’s presumptuous for us to believe that we can understand such a being as God in any meaningful way with our little post-monkey brains. Even should there not be a God, there is no reason to assume that religious belief and / or superstition would not also evolve. I say that because, even assuming that all humans become scientifically rationalist, this does not mean that a quest for spiritual enlightenment will necessarily disappear. So long as the questions of 'why are we here?’, ‘is there more to life than this?’ questions of inequity etc. persist, searching for higher spirituality will likely continue, as science will not provide those answers. And might not the huge volume of antidotal stories of ‘God in our lives’ also persist? There is also the possibility that a need to believe in a higher power may be a survival trait and not easy, or wise, to weed out.
Incidentally, should we be able to achieve such a feat of moving to another universe (interstellar colonization would likely be a cakewalk compared to entering a different timeline or universe, if possible) it may be likely that we would stumble across God in the process. Should such a supreme being actually exist, It would have to inhabit more than three physical dimensions in order to have the omnipotent knowledge and power attributed to the basic attributes of God as a creator of all things, all knowing, and timeless. For instance, thought experiments suggest that if one could view the space around them from the vantage point of four dimensional space, you would be able to see a person or object from any angle as well as inside out. One might also be able to manipulate matter in three-dimensional space from a higher dimension in ways that are impossible within three dimensions. An analogy is that if we could reach into a two-dimensional flatland universe, one might be able to lift an object up from its two dimensional space making it ‘disappear’ from the viewpoint of a two dimensional being, as up and down are impossible directions for them to move into on their own.
Thus a being such as God would need to exist in more dimensions than we are aware of in order to have such God-like powers. God would likely inhabit all dimensions, with as many as ten, eleven, or twenty six currently claimed to exist, according to string theorists. At this time, we aren’t even sure if such higher dimensions exist, much less understand their properties in only the most rudimentary way if they do.
We would need a much greater knowledge of the fabric of the universe(s) to make such a transition to a place outside our universe. I believe the greater our scientific knowledge, the more likely we will have means of actually proving (or disproving) the existence of God, as we will need means of testing for spaces that exist beyond our realm.
And even solid proof against the existence of God does not mean that some religious belief might not still continue, only that its focus would be on something other than a supreme being.