I'm confused why you think that there's strength in numbers. There certainly isn't high pay in numbers. If a large workgroup meant high pay, then AA's AMTs wouldn't be so poorly paid - after all, AA has more AMTs than any other airline in the USA. AA's AMT pay is near the bottom of the industry.
UPS has just over 1,000 AMTs and they have made much more money than you for many years. WN has but 2,488 maintenance personnel (about one-fourth the number at AA) and yet their pay has outpaced yours for a long time. Same thing at B6 and FL. AMTs at all four of those airlines make more money than you yet all four have very few mechanics - all of them are line maintenance. AA has far more mechanics than all four of those airlines combined.