Ah... the brake lever adjuster slot head screw.
The upper approximately 2/3's of that screw is milled in half, so you will not be fighting the resistance of 360 degrees of threaded surface area.
Find a screwdriver with a nice large handle to accomodate a good two handed grip. Grind a screw driver head to fit tight & exact to the screw head slot. Then with a good grip, applying torque, feel for the tool to begin to hopefully budge the screw.
I would think using some propane torch heat away from & around the screw should break the screw loose, considering the aluminium will heat & expand more quickly than the steel screw threaded into the aluminium. At least you don't have steel rusted on steel - instead, perhaps oxidized aluminium against perhaps rusty steel.
Kroil would definitely help in this situation involving a steel screw threaded into aluminium.
I would think heat by it's self should work, using a good fitting screw driver with a nice handle to accomodate a solid two handed grip.
If worse comes to the head of the screw, i have some new ones laying around, somewhere.
Let us know how this little project turns out for you, Eli.