What crew could save the day first?

[Damask]

Much as I love DS9, I think TNG's team takes this handily. This sort of anomaly is SOP for them. The ingenuity and genius aren't that dissimilar between the department heads, but the respective support of each team creates a tipping point. TNG crew is the best and the brightest; VOY crew is just another ship; and DS9 crew is a mix of Fleeters and Bajoran Militia.

and half human/half Prophet Captains

Granted, but unless Ben knows some Prophet-style kung-fu, I don't think it'll help them.

He just needs to gets his ass to the wormhole, speak to the Prophets and voila!