Re: I can't make strat's sing!
Maybe... if Mustangs weren't so darn ugly.
"Country and Western": Ha! Well, there's certainly more variety to the design and sound of Gibson's popular models (LP, SG, 335, Flying V, Firebird, Explorer, ES175, ES330/Casino, etc) than to the two models that account for 95% of Fender's sales. Leo peaked in 1954, while Ted and the boys (Gibson) were just getting started. The innovation in the models introduced in 1958 alone exceeds what any other guitar company has come up with, ever. If you're going to be in one camp or the other, looks like Gibson's got the bigger assortment.
Wow, a "mostly" civilized encounter with Blueman
The Mustang is ugly compared to the Jaguar

Other than that it's one of the first guitar designs that really struck me as amazing (looking) personally...
To my ears, the Strat and Tele sound fairly different and offer significantly different tonal options with the different pickup and control configurations, while LPs, SGs, Explorers, Vs are all ballpark enough. Variations in tone between them seem as diverse as variations in tone between one model of guitar. The Firebird and ES4234324@#$@ models by nature are something a bit different, but as for Gibson's mainstream models, as configured I find they mostly play and sound similarly, or at least moreso than comparing a Strat's glass to a Tele's bark and twang... But while you can generallize the SG and LP sounds, it's easier to find an SG sounding LP than a Tele sounding Strat, so to speak.
Not to mention that Fender also made the Tele Deluxe, Jazzmaster, Jaguar, Mustang etc., which all go more diverse than Gibson's arrangement (and are at least equally popular as the "unpopular" Gibsons), each with their own tonal circuits, pickups, bridges etc.
In terms of innovation, I think Fender's packaging and construction of the strat has to eclipse Gibson in the late 50s (I can't see what you're refering to about that year other than adding a flamed top and buckers to a traditionally built solidbody?), and since 1958 I'd probably say that Fender has tried more bridge and pickup designs... Though both companies are stagnant in design today and for a while, imo.
Gibson had its forays with active/low impedance pickups too (probably less successful as Fender's attempts and shorter lived), but I guess it's less about innovation than tone anyway...