To quote the cliché: that's a pretty big 'if'. For if Faramir weren't as wise as he was, he probably wouldn't have been as admired by the people of Gondor. Assuming that Unwise Faramir
was equally admired as the Captain of Ithilien we have come to know, however...
If, for some reason, he rebelled against Aragorn's authority, he probably would have succeeded - depending upon what stage the rebellion began. If Faramir decided to rally the people against Aragorn before the latter's coming into Minas Tirith, he probably would have been successful; Gondorians would likely have been easily convinced that Aragorn was no more than a wandering ranger, at most the last remnant of a dead line.
If, however, Faramir began an insurrection against Aragorn's authority after Aragorn had taken the thrown and Sauron was vanquished, it is more likely that he would have failed; King Elessar, who would at this point have been shown to be wise and benevolent (unless this is bizarro-Aragorn, too
), would have the people's favor even over a renowned captain.
*Walks off, imagining Faramir screaming hysterically while pouring oil on a roped-and-bound Aragorn*
*Comes back briefly, to ask, intrepidly, "Is there a point to this conjecture?*