No, I would not push him either and if he is showing you that he is defensive then it is much better to back off and try later as the best way to teach them to not bite you is to not get bitten in the first place.
In your first post it sounded as if he was stepping up and then biting and for that I start off with just letting them know that they are causing pain by saying ouch or something similar, then I try such things as distraction and see if that works the last thing it to tell them " be gentle" or 'No bite" and step them off on the closest surface for a couple of minutes. This last works because they want to be on me they just need to understand when the bite is a bite. Any way it sounds like you have it in hand.





