The New Gods are gods made by passivity. People worship them without actually knowing they do so. They're just checking twitter or watching TV. I feel that's got to caused differences to their creation. They concepts that have taken human form, rather than human-like beings incredible power.
The Abrahamic God is the only god who is actively worshipped and believed in and sacrificed to in prayers like the Old Gods are. Also, unlike the other Old Gods, his power is believed to be infinite. The Old Gods were believed to be great and all, but they were not omniscient, they were not omnipotent. Zeus couldn't defy fate, Odin could not simply take the things he wanted so he had to trade or cheat, etc. Yahweh would be different. His power is literally all encompassing. He might be too powerful to actually exist as the other Old Gods do. Instead of being in human form, he is just an all powerful presence.
Whats the word for the belief that beliefs shape reality? I forget and I can't find an easy answer on google. It's not solipsism....well, in any case, it's a great story driving device, even if trying to map it out consistently to how the universe works is a nightmare (is the earth 6,000 years old just because a bunch of idiots believe it to be? Is the moonlanding fake or was 9/11 staged just because conspiracy nuts are convinced by the idea? Do Trump's delusions come true because of his convictions of them?What happens when a significant enough amount of people believe a mutually exclusive idea at once?)