So, irony here... the only insert that slipped was from one of the tension arms, that came off without a hitch. It was the two side ones, that connection from the bottom to the top, that were just rude. On both sides, they weren't at all respectful of the amount of money I spent on tools to get them out gently at all. We managed to not miss the end of the balljoint, and the big f'ing hammer left no marks anywhere.
EDIT: We used very high jackstands. Access was only an issue at the end, when we lowered the car onto ramps so we could torque up the bolts to the subframe. That was awkward as anything and having a lift would have been really handy just then...