Just because you're not top of a leaderboard doesn't mean you've got nothing to be proud of. NOW is the time to be on there logging times because it's still essentially in its infancy, and there are segments that are relatively under used and you can go for some KOMs.
Realistically in a couple of years, the pro and semi pro riders will have pretty much put them all out of the reach of us mere mortals, but that doesn't make the site redundant. Who knows how the site will evolve. Maybe they will add different classifications of KOM depending on gradient? Maybe they'll split the elite riders into separate leagues?
As long as you're climbing you've always got something to strive for... aim to move up one place at a time, not all the way to the top. Set your own private segments where you only compete against yourself. It gives you a marker to show your improvement. Even just use it for the benefit of seeing your route plotted and the profiles of your rides.
I upload every ride, even on my commuter when I know I'll get nowhere near my own times on the carbon let alone the top positions. The data all helps build up your riding profile and makes your stats much more accurate.
Of course everyone has differing competitive aspirations, but imo, Strava is a tremendous way of allowing us all to join in with the fun that the pros have, and who knows, we all very occasionally have one of those days where our legs are feeling good, and maybe the tailwind fairies are smiling down on us and we can put ourselves in contention a couple of times.