I think it is better to do the game at your own pace. Enjoy it and don't rush things. You only get to experience the story for the first time once in your life and that would be better if done right rather than rushed.

Go with the MSQ as the first priority so you can reach EW. Everything else (like the Omega you are mentioning) can be done after you have caught up (except for Crystal Tower if you havent dont that yet, that is required for Shadowbringers. The MSQ up to 5.56 can be completed well before EW comes out on early access. Again, consider your pacing and no need to rush.

Good luck and get cracking in the MSQ.