The passive on SotD as well as the 55% attack speed stacks extremely well with Twisted fate.
On any other character I'm not sure I would use it.
How to Kill Jax as TF:
First off pull a gold card. Make sure he doesn't have his dodge skill up before initating. If he does, wait until it's down or run.
Hit him with the Gold card and deal damage until the stun is almost over, then get some distance. He will then most likely have his dodge up, in which case you will keep your distance only untill you can pull your gold card. Then activate Sword of the Divine, pull your Gold card, and he should be well past dead by the time the stun is over.