I do not think there is a real good faith effort on the haredi side.
The Charedi position can seem disingenuous, because they make two different (but in my view equally important) claims for why they don't serve.
1 - People who are learning Torah full time should not have to serve.
2 - A condition for a frum person serving is that it should not
unnecessarily infringe on their religious practice.
For context, I believe (and I think this is the Lubavitch approach) that every man should serve after they leave Yeshiva. For most Lubavitchers this would be after a year or two of kollel.
This addresses the first concern (since they are no longer learning) and reduces the second concern.
If army leadership was sincere about wanting Chareidim to serve for security reasons, they would have made sure that the Chareidim who do enlist do not encounter issue #2 above.
To be clear, I fully believe that you (LongTimeLurker) are coming from a good place in your desire to see more people step up. I hope that if you come across those (secular people) who are creating barriers to Charedi service, you are just as passionate in demanding that they act in good faith.