Several mountains allow that, but it's a hike, not a bike ride. Cristo rey, a small peak right on the border that has a huge jesus statue on it may be the one he is talking about. Coyotes from juarez like to rob the hikers that go there on pilgrimage to pray for something. So I'll pass on that one. From the ski area in Ruidoso though, you can allmost see Colorado, Arizona , Texas and Mexico. Can't quite see Colorado though, just Santa Fe. On the occasional windy day the air gets really clear afterwards and you can see Truchas peak near Taos, and the White mountains in Arizona.
Here is a few pix from 12999 feet in a hot air balloon over Deming NM. The mountains on the horizon to the right are El Paso, and to the right of that, Mexico. Visibiltiy low that day, only about 100 miles dammit.
This one is looking north, to the Gila wilderness. Would have seen Arizona but too much haze. Weather to see good would have blown me to the next state if I was dumb enough to fly that high.
View attachment 1
This is me, grinning like a fool , getting my balloon to the highest legal altitude without oxygen, radios, transponders, etc. I was taking a severe risk of a jet whizzing by me at 700 mph up there.
Fun stuff, but the reason I'm broke as hell these days. It WAS worth it.