Except that, of course, they are. You are alleging that the sedimentary rock layers we observe were laid down near simultaneously. I am pointing out that it is an odd thing for deserts and oceans to exist at the same time - much like gravity-defying dinosaurs.
How much rock is above the picture in question? Why is that important? Well, a weird property of mud is that it gets squished when weight is applied. If you are honestly saying that bent rock layers were not solid when they were bent then could you please explain why the bottom layers of formations like this even exist given the massive weight of the layers above them? Do the lower layers of these formations show signs of being squished? If so, where?
Also, you may have notice that these rocks have been uplifted to the point of some of the layers being vertical, just like the strata those dinosaur tracks I showed you earlier were in.
Finally, I'm really curious as to how your whole "layers were laid down as soft mud" model accounts for angular unconformities like this: