After years of getting my grounding, I feel like I can manage these feelings. I don't have them that often. But it takes practice, and you have to surrender when the feelings are overwhelming.
For functioning in this world, you do need a sense of self. But it also helps when that self realizes that it is part of a whole. Without a self, I don't think you can operate in this reality, so there's no point trying to get rid of it.