How can I temporarily repair a lengthwise crack in an ABS drain pipe?
Tape it.
You are not proposing this kludge as a permanent fix. That's good.
The wrap-tape products are good for an emergency bodge, and that's what you are proposing, on a temporary basis. The problem with them is when they manage to stop the leak and then folks decide not to call the plumber (or do the plumbing themselves, whichever) after all.
I would also add a few stainless-steel band clamps, since the pipe is splitting, and that's a bit much to ask tape to hold. Put them over the tape.