Is it ok to omit "也" in responce 我也很好?
Seriously I think people only say 我也很好 when the situation is a bit awkward.

It's like adding to the meaninglessness of your answer by stressing the similarity to another one's meaningless answer.

actually when you ask 你好吗 in Chinese it already starts to get awkward. At least you can ask more specifically e.g. 最近怎么样？ (how're u doing lately?) than asking a question which neither contains any information nor fits language convention.