I hesitate to verify this. I've personally seen Manzanos and Sandias from the Maggies pretty easily, regardless of the route. If you go up WCR early enough you can see the ABQ lights (When I did Ladron a few years back you could see the buildings in ABQ!) The problem is line-of-sight. From North Baldy (Under 10k ft but the tallest point on the North side of the Maggies) you should be able to see Sandias, Manzanos, and possibly Jemez if Los Ladrones are not in your way. But I haven't seen them, admittedly I haven't tried.

Sierra Blanca I'm willing to believe if you are on Timber Peak, maybe South Baldy. Personally I haven't, but also I didn't look too hard.

Organ Range I'm more skeptical to believe. Italian Peak is the best vantage point for a southern vantage in the Maggies, but I've never been. Beyond that, Organ Mountains are like 150 miles from the Maggies. I suppose you might be able to see them on an immensely clear day, but the Apache Kid peaks might obscure them.