With a 1" steerer, you have two or three possible crown race IDs, IIRC... not an issue with 1[SUP]1/8[/SUP]" AFAIK.

1[SUP]1/8[/SUP]" steerers can go inside a variety of head tubes, but that's just the threadless ones; if your fork belongs to your frame it should be a traditional head tube with normal cups.

Although, I can't see why it wouldn't be possible to mount a threaded steerer in a zero-stack headtube; you'd just need a lockring and locknut on top in place of the stem. The split cone would likely be pretty stubborn to remove after it was jammed onto the threads, though.