EDITED TO ADD: It looks like Mark posted while I was typing this (I was called away from the computer midway through). To summarize my post, I agree with him.
Based on what I know, I'm inclined to agree with Mark that there shouldn't be an issue so long as the water in your current saltwater tank that you'll be transferring in is good. Wouldn't it more or less be like doing a 50% water change? While that's a lot of water to change at once, I've done large water changes like that plenty of times in the past when I thought large water changes were the solution to the nitrate issues I used to have.
On the other hand, my concern is that even when you do a very large water change, the tank's glass, equipment, etc. are typically not cleaned as thoroughly as it appears you've cleaned your tank and equipment in your thread about the transfer, and the sand is still submerged in water and therefore doesn't dry out. Therefore, when merely doing a water change, you presumably still have the benefit of having all of the bacteria that facilitates the nitrogen cycle on the glass, on the equipment, and in the sand. In your case, though, assuming you've thoroughly cleaned everything and that the sand in the buckets in those pictures was allowed to dry out, you'll only have the bacteria in the water and sand you're transferring in (assuming you're transferring in the sand from your current saltwater tank). I don't know if that will be enough to avoid causing your tank to cycle again, although it could be.
If I were you, I might play it safe and keep your fish in your current saltwater tank and allow the new tank, water, sand, etc. to cycle. You could probably speed up the process by putting some of the water from your existing tank into the new tank, though, as if you were giving your existing tank a water change.