I'm not an expert on Einstein's biography, but I always had the impression that his path from youthful anonymity to the annus mirabilis papers and the subsequent fame and prestige -- and the discovery of general relativity a decade later, followed by even greater fame and prestige -- was extremely unusual by today's standards. In particular, observe the way the famous 1905 papers were published: a fairly obscure patent bureaucrat and part-time physics student mailed them to Max Planck, one of the top physicists of the time, who was impressed enough to publish them in the top journal of the time and promote them among his colleagues on his own initiative and authority. Such avoidance of bureaucratic and credentialist obstacles is hardly possible nowadays, especially considering the greatly controversial nature of the special relativity paper.
Now, one could argue that a genius of Einstein's caliber would nevertheless be able to jump through all the bureaucratic and credentialist hoops he'd face nowadays, but I can certainly imagine ingenious people put off or discouraged by the present system. Also, it should be noted that, at least according to my impressions, physics is generally among the healthiest and best-functioning areas of science nowadays, and I'm sure this problem is pronounced even more in various fields that are not in such a good shape.
It's likely true that nowadays it's unnecessarily harder to establish oneself in science, but I seriously doubt it's so much unnecessarily harder as to warrant the scepticism I see in this subthread.
Off the top of my head, some post-Einstein examples that give me doubt:
Please have a look at this Youtube user account. I immediately thought of this site upon watching a couple of his clips. I am told we have tried here to publish some stuff in audiovisual fomat, but it didn't quite work out. Maybe we should contact this guy, perhaps we could profit from each other's work and experience? I am fairly hopeful that he could use some of the material here, and we could use some of his talent with the medium.
This video, for instance, looks like it was taken right out of this very blog