Of course we should have gratitude to the IDF. But that doesn’t necessarily mean we must make a mishabeirach for them. When’s the last time we made a mishabeirach for the American army? If they were to suddenly cease to exist, many jews would suffer as well. And if you say that’s different because they’re not jewish, how about Hatzalah? Or Shomrim?
Taking this a step further, why not just make a general mishabeirach for those who put their lives on line for the klal, and not just the IDF? That would include the jewish members of the US army, the Shomrim members recently risked their lives, etc. Why must we only have gratitude to the IDF?