If you are just doing "strip lights" (not very descriptive), then you may have a problem. It can only be assumed that strip lights is a reference to NO (normal output) flourescent lighting, which is insufficient for any of the light-hungry corals, even the lower-light ones.
You need at least PC (power compact) or VHO (very high output flourescent) for the "low-light" corals. Low light is a misleading term. They still require a sufficient source of high energy light, but don't require the use of T5's or metal halides.
If you are talking about VHO or PC lighting, then various leathers/shrooms could survive at the deeper levels of the tank. Higher up you would be able to have a higher variety of soft corals, including zoanthids, xenia, etc.
Any coral experts feel free to correct any errors I may have made.