Most experienced players don't waste time on strikes unless they are doing bounties or helping someone. Every strike has areas that you can skip, or complete a minor objective that opens up the next area.
Unless the room requires you to kill every enemy in there, you don't have to. Just find the objective that makes the next area open up, or kill the mini-boss that makes the adds de-spawn and then rush to the next area.
Example: take the undying mind strike, taken version.
First area, you have to clear the 3 blights and kill the major centurion for the gate to open. You don't have to kill all the enemies there. Find a safe spot to snipe the blights, focus all firepower on the centurion and then rush to the next area, ignoring most of the other adds.
The giant staircase can be skipped until the 3 taken wizards at the top. Use supers/heavy to take them out and then you can just run all the way to the boss room ignoring everything on the way.
The strike boss usually has adds spawn based on timed intervals or its health bar. You can coordinate dps so the boss can be killed quickly without having to deal with the additional enemies.
