Sure a military solution if it come to that will not really make the hungian happy and fall in love with the Empire...on the other hand let them doing the OTL show neither and while you are right that they are hardly the only problem they are also the first and biggest stone at the moment so unless you resolve that in some manner you can begin any real change...and btw one of the reason why in the hungarian parlamient there was little fight for the right of the minorities it's maybe due to the fact that the franchise was around 6% till 1918 and a lot of minorities (plus the poor regardless of ethnicity as usual) were a little underrepresented
Another problem I have with the military "solution" is that its propagated by many on this site as a perfectly normal and viable alternate.
When i read about Wilhelm II of Germany talking about using the military to disperse with the Reichstag I think he was an autochratic idiot. When I read that the military was ready to do this Im horrified and think the military should have been brought under civilian control. I cant even imagine the military marching on the capital on the say so of the head of the state in any modern western country - be it an a*hole with or without a crown. The very idea is repulsive to me. I dare hope that most democratic minded people in the west are similar to me in this regard. In every occassion in recent history when someone decides to use the military against the elected representatives of the people my sympathies lay always on the side of pairlament - again I think im not alone in this. I hate the current goverment of my country (Hungary and Orbán). One of my most fervent hopes is that I will live to see his fall - but I would regard a military coup one of the few things that would near certainly make the siutation even worse.
There seems to be but one exception to this rule - at least on this site. The K.u.K and the hungarian government. The hungarian government - as is often brought up when this topic arises - was elected by but only about 6% of the populace (lets ignore the fact that at the outbreak of the war the most active debate and most likely development was a widening of the suffrage) pointing out the weak legitimacy of the government. The populace of Hungary on the eve of WWI was about 20 million - meaning 6% to be about 1,2 million people. This is the number the hungarian government was legitimately representing. The army that should coup it? It was controlled by and a tool of the Emperor / King. How many people have elected the Emperor / King in Hungary? About 160 thousend - the austrian army led by Haynau that attacked the hungarian revolution. If we are generous we could add the about 190 thousend russian troops as well that crushed it.
And yet here we had a legitimate government, that many here would have liked to see couped by the army, because it refused to do that what it was never really asked to do. How are these people different to Wilhelm II - wanting to send in the troops to disperse with the representatives of the people because they are proving difficult?
When the german army proposed the same to Wilhelm II the outcry was that the army should be under civilian control. Here the hungarian government is condemned for not founding an army that it had no control over, that has made it known that it was perfectly willing to be used against it, made plans to do so, and trying to create an army responsible to them.