I play on PS4 and have absolutely no problem cycling through my full Dragoon rotation when I play it. If you use the extra Cross-Hotbar, where you bring up a selected half of a particular one by holding L2 and then pressing R2, or vice versa, you will have no problem fitting all of your skills onto two bars.

I have all of my actions and some of my more regularly used buffs (Internal Release, Blood for Blood) on my main Cross Hotbar, and then lesser used stuff (Limit Break, Life Surge, Power Surge) on the second Hotbar. I then have a reference Hotbar for all of my buffs down at the bottom right of my screen, so that I can see when things are off-cooldown and ready to be used.

You can also set it so that you only use a particular set of Hotbars when your weapon is drawn, which is good if you're like me, and have lots of others set up with macros, shortcuts and travelling abilities which you are unlikely to use when in combat.