I guess everyone is different, and not knowing the geometry specs on that bike, I think it may be too small for you. I am .5" taller than you and both of my bikes are 58cm. I had a previous SSFG that was a 56 and it was tiny in comparison. Maybe that bike fits you, and I hope it does. Swap out that stem/bar combo for something with some rise and you should be alright. A stem with a +6/-6 should be good enough and maybe some bullhorns or risers if you like those more than drops. Obviously in your current state, riding in the drops is impossible.

Can you take a close up picture of the bar/stem combo? I would like to see this.