Avi K,
“They”
Yuck.
“claim that they are learning for the soldiers but refuse to say the “misheberach’.”
The more common practice is to say tehillim. Also there is “acheinu kol beis Yisroel” said after leining on Mondays and Thursdays. Why are you demanding the addition of a specific tefilla into Shabbos davening?
“They also refuse to say the prayer for the government even though it is a mitzva from a Navi.”
There is no mitzva “from” (?) a Navi to say a specific and new prayer at a specific time that also contains an assertion that not everyone fully agrees with.