"brake grease", is really brake rubber grease, or some type of rubber compatible grease. usually its a synthetic grease.
The rubber used in seals in the brake system can be degraded with regular lubricating greases.
Typically you will use brake grease during repair/assembly and rebuilding of brake parts such as: master cylinder, brake calipers, brake shoe pistons, sliding caliper pins where protected by a boot, also on the master & slave of hydraulic clutch systems etc.
For all metal to metal applications like caliper bolts, disk pad to caliper contact, pad to piston contact, pad to spring(brake hardware) contact, use a good quality moly based grease. Using brake grease here will work but not as good as the moly stuff.
Antiseize should be used where galling can occur, galling is micro welding of metals under heat and/or pressure, so anything on the exhaust system side that is a nut or bolt, go ahead and use antiseize. Do not use antiseize as a lubricant for rotating or sliding surfaces.
Stainless steel in high torque applications requires antiseize but this wouldn't be an issue in our vehicles unless you have changed out some hardware.