When it obtains the Final Shape, our elimination may be a result of whatever plans it has, but overall, I don't think it actively wants to kill us.
Think about it:
It reduced us to what we are/what we have during our Golden Age.
It only actually attacked those who tried to attack it. (RIP OG Guardians)
It had/has an entire fleet of Pyramid ships and who knows what was/is lying in wait inside them.
A mass army of Hive (Including Xivu Arath), Scorn and Taken under it's command.
Not to mention the fact it could kill 3 Guardians, their Ghosts and their ships with a flick of it's wrist.
And who knows what other tricks The Witness has up it's sleeve.
If The Witness TRULY wanted to destroy us, it could do it.
Those are my thoughts anyway.
What are yours?
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Why would it care? It WON. Nothing anyone did changed the outcome. The war, millennia old was won. And nothing we did, mattered. Yay.