Assuming your question is "Is person's ego a projection of the responses of their amygdala onto the conscious experience?", I think it would translate to "Does the amygdala determines or houses the ego". In that light, the question hinges on the meaning of ego. Given the question is asked at Cognitive Sciences SE, I assume the ego is "The part of the mind that mediates between the conscious and the unconscious and is responsible for reality testing and a sense of personal identity". In that case I would say no, the amygdala is not involved in the ego.
Generally, the amygdala is associated with emotions, learning and memory (Martin & Hans, 1985). A notable example is post-traumatic stress disorder (Shin et al., 2006), where it mediates imprinting of memories through fear. So yes, certainly, the amygdala shapes "the self", and the Latin "ego" means "I", but in the Cognitive Science context I would not give the amygdala a central role in projecting the "ego". In shaping the literal "ego", or "the self" the amygdala (and arguably every single part of the brain at the macroscopic level) is an essential part of the ego.
References
- Martin & Hans, Behav Neurosci (1985); 99(2):342-80
- Shin et al., Ann NY Acad Sci (2006); 1071: 67–7