Er, if you mean that to be vague and hypothetical, it didn't work; I know which symbol you have in mind, and why.
So long as the symbol is used in its traditional form and put to work in traditional rituals, the misappropriation will not interfere -- quite the contrary, if it's done skillfully and with a strongly held intention, reinforced by meditation and by offerings to the relevant deities, the power that was misappropriated might well flow back into the original form of the symbol, leaving the misappropriated form drained of at least some of its power.
Be aware, however, that the governments in question will use every trick they know to equate the true symbol with the misappropriated one, and to equate you with the monstrous manifestation. If you're going to do something like this, the pushback will be pretty spectacular -- not least because the project in question is potentially so powerful.
Re: Counteracting Black Magic at Societal Level
So long as the symbol is used in its traditional form and put to work in traditional rituals, the misappropriation will not interfere -- quite the contrary, if it's done skillfully and with a strongly held intention, reinforced by meditation and by offerings to the relevant deities, the power that was misappropriated might well flow back into the original form of the symbol, leaving the misappropriated form drained of at least some of its power.
Be aware, however, that the governments in question will use every trick they know to equate the true symbol with the misappropriated one, and to equate you with the monstrous manifestation. If you're going to do something like this, the pushback will be pretty spectacular -- not least because the project in question is potentially so powerful.