Welcome, Brian.
Best approach to my thinking, provided there is enough overhang of that upper surface, would be to install strips of a 1/4" CBU to cover that splash and provide a much flatter surface.
Second choice would be to flatten the entire surface with some sort of cementitious patching compound.
While you can probably bond to what you've got there, it's not gonna work well with small mosaic tiles, which will try to follow the contours of that backing. A larger format tile might go over the whole thing with no real problem.
My opinion; worth price charged.