Some gear is shared with DoM. So, you could go geared with that. However, stat-wise, specialized gear will always have better stats (to my knowledge) going up to 50. And when you get to 50, you will go from AF which is job specific, to Darklight (or equivalent), which is shared between Sch and Whm, to AF2 which is back to Job specific and/or Allagan (which is shared between sch and whm).
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http://na.finalfantasyxiv.com/lodestone/character/729735/