I can also not give up the WhatsApp account due to the social pressure. What if I would use a second phone, a cheap one, used only for the whatsapp (and some other essential but privacy invasive apps). I would not have that second phone always with me, but it would provide me access to the social network I need without feeling tracked or providing more data than needed.
I do understand that this doesn't fix exactly the issue presented here, but I already assumed that whatsapp data was already in Facebook's hands one way or another. But I would limit the amount of information that WhatsApp can track about me by having this application on a phone which does not really represent my full actions as i don't have it with me.
Edit: Corrected some typos.