Consciousness is not based on memory or else computers would be considered conscious.

What i meant is, memory plays a key role.

Consciousness is, simplified, a set of self-feeding loops over input and memory, with emotions and attention (Amygdala) as regulatory mechanism.

And what we consider as consciosness only exists because of short-term memory snd our vast mental capabilities. Arguably, every higher animal has a sort of consciousness, just far more limitted. And maybe a more limited set of regulators (memories), because of our societal nature.

would mean you have two points of view.

No, the input is not shared between two beings, even if there are two of the same.

and the clone would get its own sense of self, albeit one with the same memories.

Exactly. But because he has the same body, same memories and same feelings, he is you. Which would change with time if the original you is not deconstructed, because the "you" of today is not the "you" of yesterday because of memories, genexpression, yadda yadda.