Originally Posted by
bat39
I think, rather than trying to adapt one specific version of the character or the other, it would be best to take a broad view of the mythos and reinvent it from scratch.
Here's my (very sketchy) take on how a Hawkman/Hawkgirl film franchise could develop.
The first film would have Carter Hall as an archeologist investigating legends that aliens visited Ancient Egypt. In Prince Khufu's tomb, he discovers the ruins of an alien ship from Thanagar. He uses the Absorbascon on the ship to learn all about Thanagar, and uses the Nth metal, harness and artificial wings he finds there to become Hawkman. The villains are an Illuminati-like organization led by Dr. Anton Hastor, who seek to use the tech in the Thanagarian ship to reshape the world. One of the core members of this organization is a man called Carl Sands, who uses some of the Thanagarian tech to become the 'Shadow Thief'. Carter, in his fight against Hastor, is joined by a grad student named Kendra Saunders, with whom he begins a fling. Kendra is revealed, towards the end of the movie, to be a cover identity for Thanagarian deep-cover agent Shayera Hol who joins Carter in the final battle as Hawkgirl (Shayera, as a modern-day Thanagarian, is genetically engineered to grow and retract natural wings from her back). There would be no explicit mention of reincarnation, beyond Hastor's belief that he's the reincarnation of Hath-Seth who witnessed the arrivals of Thanagarians on earth. There might also be a mention of how its strange that Carter, a mere human at first glance, is even able to use the Absorbascon and the Thanagarian flight equipment.
The second movie would put the focus on Hawkgirl, with Hawkman as more of a supporting character. Shayera is 'activated' by her Thanagarian superiors when she's alerted to the presence on earth of a shapeshifting Thanagarian terrorist named Byth. Flashbacks would reveal Shayera's past on Thanagar, including the fact that Byth killed her husband, Katar. We learn that Byth is part of a conspiracy launched at the highest levels of the Thanagarian government - a conspiracy that Shayera herself is embroiled in somehow. Her own memories seem to have been tampered with when she was being prepared for her deep-cover assignment on earth, and these include her memories of Katar. By the end of the film, it would be revealed that Carter Hall is Shayera's late husband Katar Hol, reincarnated somehow.
I haven't really thought through later installments, but they will involve Carter and Shayera learning about their past lives across time and space, and discovering the true purpose behind them.