This is my first time buying a bat and I'm really leaning towards the axe avenge.. what can you tell me about it

It has great pop and is approved for play in all leagues. The AXE Handle is what makes this bat different from the rest. The shape is comfortable and will help to get the bat head through the zone a little faster which can result in more bat speed. Something important to note is that the barrel is designed to only be hit in one spot, because of the shape of the handle. Be sure to hit the ball on the honeycomb looking part of the barrel, between the two AXE logos to see maximum performance. Hope this helped.

How long do these bats hold up with the one sided hitting face and will these bats being at some point banned in usssa and asa play?

They are very durable. We have not had many durability complaints so far. I haven't heard of any leagues banning these bats either.