Hypothetically should humans eradicate horrible fearsome animals?

Okay bear with me here, and I ll repeat - BEAR WITH ME.
Let's say this is a topic you bring up with some friends. What arguments would you make?
Should humans take more efforts to eradicate animals like anacondas, crocodiles, great whites, camel spiders, - basically animals that terrify people in real people and give some nightmares? Animals that could kill humans and some are unpredictable or unmanageable?
This is just a hypothetical question. I know it sounds sick, animal abuse, etc. This is a platform for you to also talk about if there are any animals you are plain terrified of. 

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