You describe a typcial mixing situation, which is independant from the sound source.
If sound sources generate sound, which overlaps with other sounds, this issue always exists, particularly if the sound source in question is “rich” or “fat”. But wasn’t that exactly the reason we got it? 
Changing the volume of such a sound, or the others, will not get us anywhere. Most synth filters will also not be helpful, because they are supposed to shape the sound creatively rather than to tame it.
A typical mixing solution to address this issue would be:
- Use an equalizer, and allow only those parts of the sound to pass, which are needed for the role of the sound, but without compromising the overall timbre.
- Use a compressor to tame the volume if it’s overlapping, but only if and when it’s needed (keywords: parallel compression, side-chain compression, ducking)
- Or a combination of both.
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