Fidelity definition: The degree of exactness with which something is copied or reproduced.
When speaking of fidelity, no, extra amplification would technically not have more fidelity because extra amplification would add it's own distortions and flavour to the signal path. The same is true for all gear..... the less in the audio path the more fidelity you maintain. Of course the ability for the DAC itself to convert the incoming bitstream to an analogue signal must be able to do so cleanly as well, and here I find the Mojo to be very good. There is a lot of information in the third post of this thread that will explain to you why the Mojo is different from all other non-Chord DACs. You are correct in perceiving the Mojo as more of a discrete DAC with enough current and voltage to drive headphones cleanly from its very simple analogue stage without an extra conventional amplification stage.
For the harder to drive headphones there is a lot of options for amplification, and the same can be said for personal tastes. I find that I really like the Cavalli Audio gear and purchased the last run of their Liquid Gold amplifier because I like what it brings to the mix sometimes. Others will say that a comparatively brighter amp like the Schiit Jotenheim is where their preferences lie. Recommendations for amplification would be useless without more information about what you are looking for in a sound signature, or what headphones you plan to use. Personally, I prefer the Chord gear on its own without extra amplification except on the rare occasion.
As for adding iron I don't have the need for streaming or wireless audio so I can't help you there.
Ferrite chokes just clamp around your wire to help choke EMI/RFI, but I wouldn't expect them to eliminate incoming signal noise from a cell phone. Usually users report that the ferrite choke smooths the sound as it eliminates subtle noise from the source electronics itself.
Example of a ferrite choke for purchase:
https://www.amazon.com/Ferrite-Core-Cord-Noise-Suppressor/dp/B0002MQGEK