Bjason:
Until you posted that sketch I couldn’t make heads or tails out of what you were talking about, for the same reasons rb1957 and MikeH raise. When you describe something in words only, you must realize that none of us can see what you are looking at or imagining. Then read your words aloud and imagine all the different arrangements that anyone could draw from those words. If more than your intended detail could possibly be drawn, your word description is inadequate. Provide a sketch, show loads, their directions, dimensions, etc. so others can start to visualize the full scope of your problem.
130kips pressing the green block down onto the gray base is probably no problem. 130kips bearing on a .5" wide x ~.5" high round nosed bearing surface on end of the .75" high boss is probably not so good, and the shrink fit will not overcome that deficiency. (130k)/(.5 x .5) = 520ksi in bearing is mighty high. In fact that .5" x 3" boss is probably not adequate in shear at the interface btwn. the gray and green blocks; (130k)/(.5 x 3) = 87ksi, a fairly high shear stress, probably applied more at one end than uniformly. The boss has to be large enough to resist these loads.
Why not have to boss on the underside of the green block, and just lightly press fit into a slot in the gray base, for proper locating, and load transfer. Then drill through the green block/boss and use a couple bolts to only hold the green block down. Lock these bolts with tab or wires, or some such, so they can’t loosen.