You know, the abuse thing does make some sense for an angry fella like Hank.
My problem is with them just being people in costumes: if your heroic identities are not passed down from an higher entity, or you haven't been bitten by a radioactive bird, or you don't fly.... who the hell would pick "Hawk and Dove" as their hero identities? Why? What were they trying to accomplish?
Siegfried and Roy, but birdier?
I've seen neither of them observing birds before.
I've seen neither brother showing a particular fondness of bird-life, at all.
Not to mention the pairing: Hawk and "Dove"? Not Hawk and Falcon, or Hawk and eagle, but Hawk and Dove? When they introduce themselves they go "Hi, I'm the Hawk and she is my food?"
They could literally name themselves "The Quarterback and the Ballerina" and seem cooler (with more practical costumes, too).
The fact that there is a Hawk and Dove because they chose to call themselves that is a serious blow on the suspension of disbelief, specially in a show with that tone.