Is it wrong of me not to want to meet my co-wife at all?

It is not wrong — you are not obliged to socialise with or meet your co-wife, as long as there is no wrongdoing or cutting of ties in a hurtful way. Each wife is entitled to privacy and her own home. Some women need a long time to accept the situation, and that is natural. What is forbidden is actively hating, slandering, or preventing the children from knowing their paternal half-siblings. At the least, keep basic courtesy if you run into each other, such as giving salam. If one day you are ready, the relationship can still be built — there is no pressure to rush.