How much more force? Do you have a torque target?
Socket heads in the final assembly too? I would guess the driver ‘camming out’ of Phillips-head screws sets the practical torque limit in conventional Fender-style neck joints.
I've never established an actual torque value for how much I tighten the neck "bolts" (machine screws, actually) on my basses, but it's quite a bit higher than I would tighten the wood screws on a Fender. I use stainless steel 10-32 Socket Head Screws, and tighten them with a T-handle Allen Wrench. Not enough to start crushing the wood, but close.
My neck plates are 1/4" thick aluminum, recessed into the body, with counterbores for the heads of the cap screws.