Does anyone know such firefox extension that would be able in one click disable other add-ons (together) which I specify?
I doubt there will ever be such an extension since you need to restart FireFox in Safe-Mode to disable all extensions. http://www.wikihow.com/Start-Firefox-in-Safe-Mode
it's not necessary to safe-mode start, they can be disabled one-by-one in about:addons, but instead of doing this manually an extension would do it in one-click even if some add-ons require restart.