If we had to keep Jason ? Well this is how I'd do it
First of all throw out N52 version. He was an illusion yadda yadda, the core concept is workable though.
First though. He will NEVER be a long term villain (brainwashing etc is fine) "I hate my sibling" is so damn overdone its boring.
I'd have Jason be the diametric opposite of Diana. Diana is beautiful, powerful and a warrior. Jason is ugly, seemingly weak and frail with a noticable hunchback, maybe even missing an eye. This weakness and ugliness is seen as the result of a man being born/living on the island and its actually considered a more pleasant option thanks to Hippolytas favour (Ie: the gods didnt go full death because they like Hippolyta). Jason is no warrior. What he is however is a scholar and an amazing mage (on the island, Dr Fate etc beat him). However he's only "Book smart" and whilst actually embodying the amazon qualities of "Being a good person" isnt amazing at social situations. This avoids the "Man telling WW what to do" issue.
Essentially he's WWs nerdy indoorsy brother who showcases that just because you LOOK like an ugly evil wizard doesn't actually mean your one.
I envision him as a younger version of this...
jafar_old_man2.jpg