The reason you are not seeing reduced recharge is not because they don't stack.
The ehancement screen does correctly show the effect of the alpha slot (such a nice feature!); however it does not take set bonuses into account. In other words had you slotted the Luck of the Gambler first by itself, your powers will still benifit from it (as they are right now), but you won't see that reflected in the number shown on the enhancement screen.
Another way to validate this is to look in your combat attributes as the Luck of the Gambler should be reflected there.
Favorite Hero: Computer (Empathy/Energy Blast Defender)
Favorite Villain: Gimp Computer (Fire Control/Psionic Assault Dominator)
I actually wasn't looking at the enhancement screen but clicking show info on the abilitys themselves because I wanted to see just how much they were lowered. I'll have a look in combat attributes though, thanks.
So I'm hoping someone can explain something to me, does the spiritual alpha and LotG recharge not stack?
On my char with t3 spiritaul alpha sloted (increases recharge by 33%) I put in his first LotG recharge IO and it didn't effect the recharge times on any of my abilitys. MIDs says they should stack so I'm asking if anyone can tell me why I see no reduced recharge time on my abilitys?