I hope you haven't gone ahead with this system. None of it is right.
For sports bars you do not want a sound system that delivers natural vocal reproduction. Everyone in there is yelling, cheering, talking loudly - and those speakers are right in the same frequency range as the crowd. The best speakers for sports bars deliver that unnatural chesty sound that you might want to avoid in other situations.
You really need to get out and experience the top four or five sports bars in your area.
Don't get a DJ mixer. They bring their own. And don't even think about putting those little speakers in the DJ area.
It sounds like you have a budget of around $2000. You may have to get creative and pick up a few things used, but even new you can put something together better than this (which isn't even useable IMO).
Thanks for the insight guys. This install fell through because as it turns out, ANY amount of money was too much for them to spend right now. So they wasted my time and the time of anyone who took the time to give me advice on it.
But had I gone through with it I would have heeded the advice and chosen different speakers.
As for the DJ mixer, at this place there's only one DJ and he doesn't bring his own. He uses the little powered mixer as a half ass DJ mixer. Its a rinky dink setup all around so adding the cheap Numark was basically doing him a small favor. Its a small sports bar and not the type that brings in guest DJ's as performers, nor could they reasonably accommodate one if they wanted to.
And Jay the reason I would have wanted to split the TV signal is because the DJ is not there all the time. So during the day the mixer that's behind the bar is accessible for level adjustments where the DJ mixer is not.
And if anyone is wondering how on earth I decided on those speakers (which it appears you are), I was researching sports bar installs and came across this.
http://avspecialists.com/some-of-the-jobs-weve-done/item/53-sound-and-video-system-installation-%7C-restaurants-sports-bars-and-night-clubs.htmlIn that install they used the AD-s82 which is the 8" version. After reseraching the speaker it seemed like a good fit. But seeing as how that place is WAY bigger than this bar and has considerably higher ceilings, I though I could have gotten away with the AD-S52 and spared the owners some cash, but apparently not.
Live and learn.
Thanks anyways for the help it was still a learning experience none the less and may help someone else down the road.