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Dr. David Marcus, Khan, and Captain Kruge wanted the power to create or destroy for themselves (for honor and/or "ultimate power"). It was like the battle of the Roman or Greek gods once again, except now, the mortals used science.
The battle raged between them until they were all dead.
On the other hand, God created the universe (or multiverse, etc.) out of nothing. He (not male, just subject placeholder) created all time, matter, and dimensions. The Book of Genesis describes this in a poetic manner, where the point is that God created it out of love, not domination.
For more on this see this video by Fr. Barron.