A lot of those nocturnal green eyes turn out to be deer or various other animals. At least that's what I've found when I focused my headlamp directly on the source of the eyes. I remember the time there was lots of nearby noise of campground garbage cans turning over and I went to investigate--it turned out to be raccoons! Another time my dog started barking, and I stuck my head out the tent door only to see three lovely does bounding away in the moonlight! (The courageous canine had to protect me from those dastardly deer!) I would love to see another cougar in the wild; the only one I've seen was over 60 years ago and that was just a long tan tail quickly vanishing into the trees. I've seen plenty of bear, of course, but only twice outside a national park.
On the other hand, there's plenty of wildlife out there in the Columbia River Gorge, especially away from the tourist areas, and most of that area is now designated wilderness. I haven't seen bear or cougar tracks in the Gorge mostly because I don't get that far back in. I certainly have seen them numerous times in various areas around Mt. Hood.
Lots of these animal track pictures get posted on Portlandhikers.org all the time. Go ahead! The animals will have moved on before any hunters get there. If you're worried, just wait a couple of days before posting your trip report.
No need for panic, unless you indulge in activities that mimic prey, such as running or bicycling, or like to keep food in your tent. I would worry if I were a trail runner! As a hiker, I just check my back trail frequently (more for navigation ease on the return trip) and watch for reactions from my dog (who generally alerts me to wildlife before I see it and is almost all the time on leash).