A formidable Tynecastle strike pair of John Sutton and Michael Ngoo proved too much for Saints on Tuesday as Hearts secured a 2-0 win in Edinburgh and the Perth side missed the chance to move third in the Clydesdale Bank Premier League.
Kilmarnock are likely to prove a different prospect with their passing style but the bumpy McDiarmid Park pitch might force them to change their tactics.
And Davidson knows they have to be prepared for any eventuality after manager Steve Lomas described them as "second best all over the pitch" on Tuesday.
"It really hasn`t happened too often this season," Davidson said.
"Hearts had a game plan which we couldn`t quite handle and we didn't really adapt well enough.
"I think the effort and commitment was there but the quality when we didn`t have the ball was probably lacking.
"It`s one of those things that you have to work on.
"You come across different teams all the time, different formations and different style of play, and you have got to adapt to them all."