As the title says: Do the specialty dice you get from Dodge (Spec: Melee +2) double when going full defense?

No. Specializations are a dice pool modifier, not a skill modifier. Your melee dodge pool would be Reaction + Dodge + Dodge + 2, not Reaction + Dodge + Dodge +4.

If you brought the adept power or reflex recorder for dodge then it would double as they are skill modifiers and the only ones IIRC.

Cool, that's how I thought - and how I ran it.

Also move-by-wire.

Oh yes that dodge only IDK how that slipped my mind.

Yikes! Move-by-Wire is nasty! Nasty Awesome!

Yes, delta-grade (or at least beta) MBW 3 is pretty much the long-term goal of any cyber-sam. +2 Reaction, +1 Dodge, and +1 IP per level, plus skillwire functionality is very sweet.

I usually take the "ranged combat" dodge specialization, because it's usually easier to defend against melee attacks in the first place due to the larger dicepools (Reaction + Skill + Dodge for melee vs. Reaction + Dodge for ranged defense). So I tend to value +2 dice to ranged defense higher than +2 dice to melee defense. At least that's my experience...

-CJ

Don't forget that you only roll Dodge vs Ranged attacks if you go on Full Defense and thus lose your actions. I always found the ranges Specialization less than optimal, but I usually don't bother with the skill anyway. Gymnastics does the trick as well and is in the Athletics group which is good to have anyways.