It's a long shot, but Moderate Republicans and McCarthy supporters could cast a vote for Democrat Jefferies as a FU to the Freedom Caucus. They would likely be able to get things done as a result.
That will never happen. It's much more likely IMHO for Democrats to throw some votes at a moderate Republican to get them over the line. Not Kevin, probably not Steve Scalise.
Becoming Speaker is only part of the story, though. The Speaker sets the agenda (meaning the day's schedule) but that agenda is subject to a vote and needs a majority every single time. So any Democrats who support a Republican (or vice versa) would have to be relied on to vote in favor of that speaker's scheduling, otherwise nothing can be scheduled.
Meanwhile in Canada we just got free (covered) dental care for youth, and will be getting a pharmacare plan because 1 party needed the others support to govern and gave concession.
Imagine what they could actually do in the US if they actually worked together out of this madness.
Edit: There's gotta be hundreds of things moderates in both parties could agree to as concessions for joint support.
Jeffries was picked by the House Democrats. It's not a long shot, it's 100% fever dream impossible that any Republicans would just vote for the Democrat option.
The long shot is getting a group of half moderate Republicans and half moderate Democrats and picking a Republican speaker who is moderate. That's not going to happen either.
The barely realistic possibility of bipartisan Speaker votes is a few moderate Democrats vote for a Republican candidate.