Outside of the openings I don't think top chess players are really much stronger than Fischer. I think he'd easily have held his own among today's top players and possibly his rating would have been even higher, as he'd have benefited from playing higher rated players.
Remember, Fischer achieved that rating when no one else was above 2700, which is phenomenal.
You could then of course argue that he was so good only because his opponents were not as strong as today's players. So, around and around we go.
How much has improved the level of chess since 1960?
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And second question :
Is it possible the best Bobby Fischer (2785 FIDE) beat Magnus Carlsen? Naiditsch (2706) won him two games in a row, so perhaps it´s possible , Naiditisch is not super-elite.
What do you think?