Well, obvious to people who aren't looking for a reason to demonize Muslims and/or exonerate the militia movement. But of course there are quite a few Americans who ARE, in fact, looking for an excuse to do one or both of those things.
I think there'd be a lot of conspiracy-theorizing about it being Muslims, and the government covered it up for reasons of "political correctness" or "attacking the white race" or whatever(depending on the particlar brand of right-wing lunacy the various theorists held to). Mind you, there'd also be a lot of people in those circles thinking it was the ZOG or the UN black helicopters.
And all the conspiracy-mongering would get redoubled after 9-11. "See!! The government covered up the Muslim attack in '95, and then the Muslims came back and did it again in 2001, only with thousands dead this time!!"
God knows the roots of modern American Islamaphobia go pretty deep, and elements of it were around in the 1970s and '80s. Still, I think this would be a just a bit anachronistic in 1995. By then Islamic extremists were one of several "usual suspects;" despite the fall of the Soviet Union, I think at least as many people would speculate it could have been leftists as Muslims. The notion that if you take a really objective look at what constitutes terrorist actions (anti-union massacres for instance, or old fashioned Southern lynching, still carried over today with Klan and other white supremacist actions--or people who murder abortion providers) that actually American born and "white" looking conservatives ought to take pride of place as random suspects has a long history of being repressed, with what white conservative terrorism that is recognized at all tending to be placed into a different category on any pretext.
But...part of the nature of terrorist acts is that the terrorists generally want the injured public to know, if not specifically by name, then truthfully by type, who actually did it. Most causes terrorists seek to foster require that the victims know the perpetrators have the power to hurt them, and hope to rally more support for their cause by rousing the like-thinking masses they believe make them in the right by their heroic example. Even if we assume terrorists wish to survive their crimes and go uncaught, still they want the world to have a clue what
kind of people did it. This makes their blow against their supposed enemies sharper, and their hope of a groundswell of mass support vindicating them something they can fantasize about.
Anyway you are correct that Islamic extremists of some kind had been on the rise as likely suspects, pretty much starting with the Iranian Revolution (before that, Middle Eastern terrorists would be regarded as more Communist aligned and of course primarily focused pro-Palestinian, anti-Israeli--Ay-Rabs yes, but secular in their presentation and motives seemingly, and in cahoots with the Kremlin). The then recent first WTC attack would be a pointed case to consider. But it still might seem to be some sort of left wing extremist (mind, that's mostly slander, the wave of attacks in the Vietnam war era tended to avoid killing, but again we are talking about perceptions here) or Black Power perhaps.
I think that however the lobby to try to make the Muslims the next generic scapegoat had not quite congealed yet though it was getting there in organizational terms. The Taliban had yet to take over in Afghanistan, that nation being in chaotic civil war. Much of Osama Bin Laden's motivation was to get American forces out of bases in Saudi Arabia; they had been there for some years at this point, in the wake of Desert Storm, but the constellation familiar in the 2000s had not quite jelled yet. So the key thing is the desire of terrorists to let their victims know who they are generically; that would have clarified as white supremacist.
Note that just prior to 9/11, it was Russia and China GW Bush appeared to be picking fights with, not anyone in the Muslim world. I think your perception of Americans leaping to blame Muslims first and for everything is a post 9/11 thing; between the Iranian hostage crisis and 2001 they were one of several rouges in a revolving door.