The solutions is very simple: First you will need...
1. patience
2. Regular water changes and tank cleanings
3. Good clean up crew. various snails and maybe some hermits
4. Good mechanical filtration that is changed often.(Like Phosphate pad)
5. NOTHING will eat a Healthy thick mat of hair algae (Scrub your rocks so the snails can work on whats left)
6. See #'s 1-5
7. Not trying to be a smart ..... there is no magic involved. other things you can try are reducing light cycle some more( i didn't catch how old the system was so that may help), stop wasting perfectly good vodka,feed less for a while.. add skimmer in there is none.. if you can place some cheato or other macro somewhere in the system as a competing algae for nutrients.
one other question,, are you trying to grow SPS in your sump? why so much light there? I would remove that fixture altogether.. I have a simple 12" Lowes flourescent fixture over mine.. it is only 8 watts and my algae grows fine in the fuge...