You are not too clumsy and your coordination is fine (you typed the question in, right?)
Everything feels weird and impossible because it is, that is until you have trained yourself to do it. Nobody is born with the gift to play great guitar and there is no such thing as beginners luck. If you want it bad enough, you'll get there.
Get a video for beginners and take it slow. Your skill will build quickly once you get some practice under you belt.
Some lessons wouldn't hurt.
I once thought a "Sweeping Arpeggio" was an Italian janitor.