So I noticed that there are a lot of Quest lists that show how to get to Disturbing Connections. They pretty much list all the quests in the zone. I don't want to do all the quests so, I'm going to clear up what unlocks what and what is needed to finish this chain.
To start I'm on a druid that has only done the quest Writings of the Void. This is a pretty easy quest and awards two achievements, going down and Ghosts in the Dark.
Next I did The Last Wave of Survivors. When I finished there were no new quests so I did Threat from the Water and that unlocked Buzzbox 413. After finishing Buzzbox 413 do the follow ups: No Accounting for Taste and Buzzbox 723.
Now do The Corruption's Source and A Cure In The Dark.
(A Cure In The Dark might not be reqired because it didn't unlock anything when I finished it.)
Doing The Corruption's Source unlocks The Final Flame of Bashal'Aran, A Love Eternal and A Lost Companion.
Turning in A Lost Companion unlocks Twice removed, Unsavory Remedies and Ritual Materials. Do all three.
The next step is The Ritual Bond. To do this quest you need to pick an animal. That animal will give you a preeminent buff that you will have when ever you are in Darkshore.
Your choices are:
If you choose Moonstalkers you get Blessing of the Moonstalker
If you choose the Bears you get Blessing of the Thistle Bear
If you choose the Stags you get Blessing of the Stag
Then I did Grimclaw's Return but I dont think it's required because The Shatterspear Invaders was unlocked before I turned it in.
Do The Shatterspear Invaders and you are now where you want to be. Do the follow up quests Remnants of the Highborne and Shatterspear Laborers. Now do Denying Manpower and War Supplies.
Side note on Denying Manpower. In my opinion, the reward from this quest, Tysha's Chestguard, is the best black leather you can get from quests at lvl 20 and that makes it good F2P mog gear.
Now do:
On the Brink and Strategic Strikes.
Pick up The Front Line. Go over to the night elf mounted on a dark saber. She can give you a ride to your quest turn in.
The Ancients' Ire is not needed but it gives you a ride to the next step as well as an easy way to clear the path.
Now pick up Ending the Threat. You will need to talk to the quest giver again so she shoots Jor'kil and makes him weak for you. Make sure you loot Jor'kil as he drops Hellscream's Missive. The Missive starts the quest Disturbing Connections.
Remembrance of Auberdine opens up after this quest and rewards Withers.