My advice: Get a good quality super-zoom bridge camera, that way you can go from wideangle to 10, 20 or 30 times tele without changing leses, which is exactly what you need in the mountains. Most of my photos have been taken with a Fuji camera with a 10 times zoom lens (35 mm equivalent 38-380 mm, real focus length 5 to 50 mm). Though Fuli is rather in the cheaper end, that model (Fuji S5500) had got very good reviews for its lens, which proved true. (I later gave my wife a similar Sony camera with a Zeiss lens, and my brother a Panasonic with a Leica lens - there wasn't any great difference between the three lenses, the Leica lens was a bit sharper than the two others, but nothing you would notice in ordinary shooting.) Nowadays similar cameras will have 30 x or more zoom, but still the whole package takes up no more space, and weighs less than a small 35 mm SLR with 50 mm lens. Using the camera feels very like using an SLR, as you look on a small screen though an ocular lens.
One DSLR aficionado one showed me his 10 times zoom for the DSLR, it was 400 mm log and weighed several kilograms. A lens like that goes in the rucksack, and will only be taken out for a few shots on the summit or on longer rests, no doubt it can take superb photos, but not while it is lying in the rucksack. You have no time to mount it if a chamois or Ibex suddenly appears 100 ft./30 m from you, only to be gone in the next second. I used to have a 35 mm SLR with several lenses, but interchangeable lenses are a bother in the mountains, in truth I went around with the 50 mm lens on most of the time, and rarely mounted any of the other lenses.
Spreading more unfounded hatred, as usual.