This isn't about whether the Kings are capable of doing what you lay out within the framework of the new CBA. Its about being logical and not having kneejerk reactions. Yes, you can throw a ton of money at Batum. But is he really worth that money? Do we want to get ourselves into the same situation the Hawks are in. Always good enough to make the playoffs, but out in the first round, with no capspace to add what you need to go to the next level. You referred to the Lakers. You know what the Lakers are right now, unless someone bails them out? A franchise thats in decline, and a franchise that can't do anything about it. Unless, as I said, another team does something stupid.
The new CBA is very restrictive on teams that are over the cap, and especially teams that are near or over the luxury tax threshold. You pay Batum 12.5 mil, and three years from now, if we resign both Tyreke and Cuz, we'll have three players taking up close to 40 mil of our entire salaries. If thats the case, all three players better be stars in the league. And guess what, if Robinson turns out to be as good as everyone thinks he is, you'll have him coming for an extension a year later.
Your estimate on the salaries is off by the way. A max for Cuz today would be 12.5 mil. But remember, the max is based on a percentage of the total income of the NBA, which will have, in all likelyhood gone up by the time Cuz comes up for an extension. So he could easlily get around 13.5 mil. I don't see Jimmers salary included either.