Safe to add?

As long as you leave space for everything to grow you should be fine. It is only when they try to grow over each other that you will have a problem.
 
You're going to have warfare eventually no matter what you do. Corals are going to grow and you only have so much room before they make contact (or get close enough). Granted some corals will get along better than others, especially if you group like species together. You should know that button polyps and shrooms are fairly invasive and will take up quite a bit of real estate in your tank in a short period of time. If you really like the corals the go for it. Otherwise try and isoloate these guys to their own "island" so that they cannot spread to your main rockwork or look into other corals. These are great starter corals but many end up wanting them out of their tank as their tanks progress.
 
I wouldn't get that pack honestly. There are much more desirable corals out there that won't spread as fast as those.
 
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