Not sure what the requirements are for the forces in the US, but over here and with it noted that you've made an attempt along with no doubt a diagnosis of depression... you would probably be ruled out at selection. Nature of the beast if you look at it in purely logical terms - would you be stable enough to endure training and then be consistent in the field... would you endanger the lives of other soldiers... and that would be the crux of the matter to me.

Mental and emotional stability are big factors to consider in the forces (intelligence is a side issue).

I hope this doesn't come across as a harsh rebuttal, by all means investigate and see what it leads too... just I have a feeling it would be a no.