JFK can definitely be confusing with lounges.
Since you’re Alaska Gold which is oneworld Sapphire and flying Finnair internationally, you should have oneworld lounge access regardless of cabin. That usually gets you into the oneworld partner lounges at JFK when departing on a same day international itinerary.
The bigger question is those ATMOS Summit passes. Those are typically tied to specific lounge programs, not general oneworld access. They’re not universal passes you can just use anywhere in JFK.
If you’re in Terminal 8 with Finnair, you’d likely be looking at the oneworld lounges there. Your Sapphire status should get you in with one guest, so you and your wife should be covered without even needing the passes.
Honestly I’d plan around your oneworld Sapphire access first and treat the Summit passes as backup only if they specifically list a JFK location.