KL are currently planning on operating KL985 to LCY at 08:05 tomorrow morning, although the previous and subsequent flights have been cancelled.
As you should be able to now make changes to your ticket, I would advise you to log in to your booking and see if you can change to this, and at least you have something better (though it is of course likely that this flight itself will be delayed and/or cancelled by tomorrow).
All morning BA flights to LCY and LGW are currently scheduled, so if you find yourself stranded at AMS tomorrow, get straight to the lounge and take a ticket from the Flying Blue desk, and see if they can rebook you onto any service to London on BA.
I would advise you to travel light - i.e. without checking a bag - if at all possible. Otherwise, you are probably going to have your bag go missing for a long time at AMS and arrive in LON without it, anyway.
EDIT: Can you not get on the phone and see if they will rebook you on a direct ICN-LHR KE service???? Never mind - looks like your KL flight is due to leave in less than an hour!!