I've got the Dura Ace (yellow) grease, the Campagnolo white (lithium) grease and a small amount of the Finish Line anti-oxidant paste...
Except for the Finish Line product which is an anti-seize the other greases are bearing greases which I wouldn't use to mount parts with.
The anti-seize as the name suggests prevents parts made out of differing materials, e.g. steel and aluminium, aluminium and titanium etc., from forming a cold weld. I.e. a weld takes places due to ion exchange between different metals.
So this particular grease (a.k.a. copper paste although not exclusively copper particle based) is used wherever two or more different metals are to be mounted together.
Loctite's threadlocker does lock parts into place and serves as anti-seize at the same time. See above.
When in doubt about the nature of the materials to be put together use anti-seize (or threadlocker medium force) or a mounting paste at the very least.
Parts such as handlebars (carbon or aluminium), seatposts etc. that you don't want to slip can best be mounted with a carbon specific mounting paste such as Dynamic/Tacx or whatever other trade name it is being sold under. This particular mounting grease is loaded with microscopically small pearls which provide for an exceptionally high filling grade preventing parts from moving/slipping.
As an aside it also allows for about 30% less torque to be used which is a godsend when mounting delicate carbon parts.
Personally I never grease parts that I remove/untighten regularly: derailleur and brake cable fixing bolts for instance, and use Loctite threadlocker for parts that I don't touch regularly. Threadlockers have another advantage over mounting paste in that they don't act as a dirt magnet....
Use a torque wrench whenever it is wise to do so but use it correctly. There's is more damage done by incorrect use of torque wrenches than people would care to admit.
Enjoy building and merry X-mass to all,