[quote=Zaresto]
But mechs cannot take recoil as well as tanks, which means that your aspirations for mechs to be these self-propelled anti-tank turrets aren't founded in reality. If you are going to factor that they can trip over often enough that you need to make specific technology just to get them back on their feet, what is the point? Why go up stairs with a mech when you could have a squad of men do it better? Why even go up mountainous terrain with a mech when you could ride up it with a powerful tank? Why go over barricades when you could smash through them, giving you an even bigger advantage.Tanks are more mobile, easier to get a crew into, easier to hide, can have bigger guns, and can have more armor.Tanks better, man.
[/quote]

If we have flying battleships (which if you look at the disigns everyone is useing, also have no base in reality)
I don't honestly think recoil dampeners would be that far off, hell they would probably be in use on said battleships..

That's why you give them more than 2 legs and a low center of gravity, and legs that are able to bend to accommodate different shifts in walking patterns. 

Psychological warfare that's why and perhaps its a veritable meat grinder that awates the squad at the top.

Steep slopes, loose rocks, and other terrain a tank would struggle to get up

See the first part about stairs, also why smash through it and ruin it in case of a counter attack?

Depends on the terrain, and power of the tanks engine.

Probably

Most definitely,

Not quite they would have comparable weapons and probably better armour (to counteract the whole not being able to hide)