Power supplies are just a fact of life. They are like having to fill your car up with gasoline(but don't nearly cost as much). Not something you really want to always build (tedious...) but the benefits definitely out way the cons.
If you build a regulated power supply outside the units, you have the advantage of having the power transformer outside of the case, (but when using a decent quality torrid that advantage isn't always apparent).
You are probably going to want some sort of smoothing caps inside the different pieces of equipment. And all the peices of equipment you mentioned don't even take the same voltage rails.
Calrec EQ +/- 15 to 18V (i'm guessing, its all opamps)
1176 +30/-10v
the EZ1290 is +24 (again I'm guessing)
So I imagine you are trying to save money and time, but really you might end up wishing you wired it up with power supply in each unit.
Example - what if you want to bring your 1176 out of your studio to run live sound or something? Or take it to a friends studio or or or...
transformers can be found pretty cheap.... <20$ a piece if you look around. And they won't need to be as big as the one you would need to power all those different devices...
