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 Scottish 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."
Former Saints striker Cillian Sheridan could provide a similar challenge to the likes of Sutton but Davidson expects a different encounter.
"Cillian will probably be involved and obviously Kris Boyd played for the under-20s the other night and they are two physical players," the former Scotland international said.
"Kilmarnock like to throw it out from the back a little bit more so it will be a different game.
"We have got to make sure we are up for it and are prepared the best we can be."
Despite the setback in Edinburgh, St Johnstone are in the driving seat in their bid to finish in the top six and can put six points between themselves and Killie tomorrow.
"The next three games we have got are must-wins," Davidson said.
"That was our first defeat in four. You can't just take one game - you have to look at them all as a whole.
"It's about how we bounce back from the game."