Ego also does not necessarily equal self. Yes, there is overlap, but 'ego' is for a start a term stemming from Freudian theory, it's a distinct idea from 'self' - and especially from the way 'self' is described/understood in Buddhism(s).
Debating is sensible, natural, and often necessary, whowhy. Buddhists disagree on lots and lots of things.
In fact, some traditions have debate built into the curriculum for monks:
And discussion, questioning and free enquiry is arguably one of the principles the Buddha was quite clear on:
encyclopediaofbuddhism.org/wiki/Kalama_Sutta
'don’t go by oral transmission, don’t go by lineage, don’t go by testament, don’t go by canonical authority, don’t rely on logic, don’t rely on inference, don’t go by reasoned contemplation, don’t go by the acceptance of a view after consideration, don’t go by the appearance of competence, and don’t think ‘The ascetic is our respected teacher.’ But when you know for yourselves: ‘These things are unskillful, blameworthy, criticized by sensible people, and when you undertake them, they lead to harm and suffering’, then you should give them up.'
Final point, I would say that Buddhism doesn't have 'divinity' or 'the divine' as we understand it, really. It's an apophatic theology to use a difficult but (I think) accurate phrase. 
In practical terms, we all have ego, it's a natural and often useful feature of being human. Freedom most likely comes from understanding, acceptance and choosing skilful responses, rather than a renunciation of ego. I hope that makes sense.