Indiana Jones is a pulp hero, an archaeologist who had only three adventures before "Crystal Skull", so that's not really enough to take our general impressions of those and turn them into strict rules.It does make sense. Indiana Jones is about religious and occult artifacts, about magic and ghosts. Aliens/science fiction doesn't fit into it.

But one thing Abrams does well is fast-paced action, so I think he would probably be a good choice for director-- as long as, as I noted, somebody with artistic integrity is in charge of characters and story.
or even this one: