No mind --> no Universe. Empiricists tend to struggle with this concept, and this is evidenced by their tendency to describe the Universe as if all observers could be removed from it. Yet, they fail to realize that a Universe without observers can't be a Universe at all, for there is no metric by which the Universe can be stated to exist.
"But...but...there would still be something!" Actually, no, you don't have the authority to say anything about such a Universe at all.
So, does the universe exist as an imperial system of feet and pounds? Or metric system of meters and kilograms?
For this empiricist, there is no struggle. The universe exists whether there are observers or not. Observers just use their own arbitrary metrics to observe and measure it with, but the fact that there are so many different metrics proves that they are nothing but observer created arbitrary units, not something that the universe depends on for existence.
If science ever became sufficiently knowledgeable that they virtually proved God to exist, would the men of science ever admit it?
Again, that's NOT how science and scientific discovery works.
THEISTS start out with an idea (god dun did it), and look for proof.
Scientists start out with observable facts, and try to find an explanation, whatever it may be. That explanation isn't "God did it! Now let's find evidence to prove it, and ignore all evidence to the contrary!" No, it's, "We have no idea what did it! But based on these real life observable facts, this is our best guess, which we can test and repeat over and over."
So, next time you ever think of someone looking to prove some idea, just remember, that's not science. And if you want to give us scientific proof of god, give us a scientific test to perform and repeat, with similar results every time, which shows that god exists (I bet you can't even come up with such a test!). Not point at something you can't explain, and claim that it's SO much above YOUR level of understanding, that god is the only answer. (I'm sure to anyone living in Jesus's times, entire cities built on a grain of sand, which we use as computer processors, would have been proof of god, too).