I always wondered if a 4-3-1-2 was in fact the best way to replicate Liverpool under Klopp when using a False 9. Perhaps something like the following:
CF (A) - CF (A)
AM (S)
BBM (S) - CM (D) - Mez (S)
WB (S) - BPD (D) - BPD (D) - WB(S)
SK (S)
Obviously you could argue about some of the roles & duties but I think that would probably get you close to the shape you want.