Turns out he's going to be reprising his role as The Doctor in the upcoming Star Trek: Starfleet Academy series that looks to be set in the 31st century-era (it has Admiral Vance, Jett Reno, and Sylvia Tilly). Who knows what could happen.
I think Jack would have multiple aneurysms learning that both the Star Trek and Star Wars universes were real. Luckily, the EMH would be there to lend a hand! God, the fanfic just writes itself, doesn’t it? 🖖