In before the flood of "avoid this field like the plague" posts. I think that topic has been hashed to death.
To actually answer your question, I would not count on finding a "regular" schedule in Emergency Medicine. This isn't to say that it doesn't exist, and it actually probably does exist more than we give it credit for, but I don't want your expectations to be set incorrectly. This job involves nights, weekends, and holidays.
That said, it's more common than not to have physicians who work exclusively nights. They actually tend to have the most "regular" schedule since they frequently get to make their own schedules, and generally parlay additional compensation and sometimes less weekend/holiday time in return for doing overnight shifts. If anybody is in a group that doesn't have dedicated nocturnists, I recommend advocating for getting whatever it takes to get them.
Even with dedicated nocturnists, I still work a couple nights every few months. It's a part of the job. Honestly, it's working evenings that's an even greater burden. Evenings (and by that I mean shifts that start in the afternoon and end in the evening; second shift) mean that your time at home and not asleep tends to be the morning to midday hours; so if you have children in school or a spouse that works, you will not see them at all. I've known physicians who became nocturnists actually to avoid working second shifts because being a nocturnist was better for their home lives.
The scheduling on our jobs is not a perk; it's the number of hours that we work that makes this lifestyle attractive.