I disagree. I know we all have only anecdotal evidence to go on, but based on friends who've gone through this process (some multiple times), I'd be stunned if the OP even got interviews at most schools, much less acceptances.
Saying that med school application is not an "ultra-competitive" process is just silly. Anytime you have a 2X surplus of candidates overall (~60000 applicants annually for ~30000 seats in US MD schools), and a 10-100X surplus of candidates for each school (2000+ candidates for nearly every med school in the country, with most med schools having less than 200 seats; some schools with close to 10000 applicants for only ~100 seats), it is ultra-competitive.
Back to the anecdotes, I have a friend (who is not a message board geek like all of us) with a similar GPA, 35+ MCAT, 500+ clinical hours, and 4 years of research (with first authored pubs). I'd say that's pretty similar to the OP, assuming the OP has great ECS. This friend turned in all secondaries by august, and only got 2 interviews. A couple of schools admitted that they rejected my friend totally based on GPA, not even looking at the rest of the app. And I'm not talking about top 10 or 20 schools here.