Well pools create centralization, so the idea is, there is no pool`s just individuals
Individuals whom you've just invented a way to prevent from working together?
now give each individual equal hashing power
And who's this doing the "
giving" part, exactly?
Well people are free to work together so long as they have equal hashing power, then you will need at least 51% of the people themselves to create a "attack" although, it would just be a decision by the majority of the people using the network, unlike now where 1 or a few guys could change the entire system.
The system is giving it, just like it does now.
The "system" cannot magically give people equal hashrate because people can own more than one piece of hardware. First you said there were no pools, but now you realise you have no way of preventing them from forming.
This sounds very much like a fanciful wishlist rather than a well considered plan of action.