Does "Garbotoxin" prevent "Bright Look" on Ninetales coming from your hand, "Electromagnetic Wall" on Ampharos in play and "Rebirth" on Ho-Oh EX in your discard pile?
Yes, Garbotoxin makes it so that each Pokemon in play, in each player's hand, and in each player's discard pile has no Abilities.
Source: Dragons Exalted FAQ (2012-08-23), TPCi Rules Team (2012-08-23)

Relevant cards

Note: All applicable cards may not be listed below.
BW11_68
BW6_54
BW9_119
XY9_57