This is just my personal opinion (and I may be wrong), but I see the coin “like” as something that will mostly be used by larger movements and organisation that will likely have a budget to use them.
Envision for example a gaming forum where a member writes about an amazing experience in a new game. Regular members of that community will mostly endorse it with the “trusted likes”. But if the publisher of the game in question notices that post, they will use the coin “likes” to give that post an extra boost.
The publisher doesn’t have another option, because spamming fake identities is useless, they won’t be able to get into the web of trust of that community.
I hope that illustrates how the sybil attack is solved with this system.