It's possible to do a slight variant on the route suggested - one that allows you to take greater advantage of the fabulous views from the Cathedral-Hayden ridge. Start from the Cathedral Lake trailhead. From Electric Pass Peak, head N directly along the ridge towards Hayden Peak. There are a couple of slightly dodgy segments on the ridge - bad rock and considerable exposure on the Conundrum side - but it's easy enough to get over to Pt 13,540. Then drop down E along the shoulder before heading down to American Lake. Not once, and I've done the route 5 or 6 times, have I succeeded in hitching a lift along the road back the Cathedral Lk trailhead parking lot... Not the best of finishes to an excellent walk that starts and finishes among the summer crowds but boasts an exhilarating centerpiece.
"As an adolescent I aspired to lasting fame, I craved factual certainty, and I thirsted for a meaningful vision of human life - so I became a scientist. This is like becoming an archbishop so you can meet girls."