goby vs. diadema

[psuedo]

I just got myself a pistol shrimp, and am now wanting to get a goby for it. The only problem I have now is that I have a small red tail diadema that thinks he owns the whole tank. Will he chase and kill a goby?? I am not worried about the shrimp, as he has already snapped a few times at the diadema and hopefully scared him off. Has anybody kept these together?

The diadema doesn't even bother the cleaner shrimp, he just goes after the six line wrasse and my tangs. He is a feisty little guy