Soldier should be able to use the grenades on his chest, or at least have an item for it.

Introducing the Grenades of Glory, a new soldier secondary.

So with this item, he can throw arcing grenades that explode after about two seconds and NOT on impact like demo's pills. In fact, getting hit with a grenade would deal minor impact damage with falloff based on distance. The thrown grenades would have about the same trajectory as sniper's Jarate (but perhaps more momentum so it can be thrown farther?)

Right click to pull the pin early, or just left click to throw (which automatically pulls the pin). When a grenade pin in pulled/thrown it has about 2ish? seconds before it explodes, meaning you can let it explode in your hand for massive self damage (maybe 180 at point blank range, but when thrown most enemies would take 100-150 if fairly close). But it can actually be picked up and rethrown before it explodes if a player is fast enough.

I also think that the grenade suicide taunt should be exclusive to this item and the equalizer should have whatever the escape plan does.