It would effectively be a prohibitionist war, and those rarely - if ever - are successful.
It might even be akin to the war on drugs in that information - whether accurate or false - may have some functional equivalency to drugs in that people seek particular info for its psychological effects. The demand is not for truth, but for what makes me feel good about myself and my political stance.
And of course it would be as corrupting as all prohibitionist efforts are. An objective truth squad that only targets true mis and/or disinformation is not plausibly believable.
As a recent case in point, look at the political outrage levied against those who dissented from government agencies' Covid policy recommendations. Dissenters were commanded to "follow the science," which turned out to mean, "Don't question the authorized governmental scientist." The voices of (previously!) highly respected non-governmental scientists were sidelined. And yet the on-going scientific research has not generally supported the policy recommendations of authorized government scientists. There was an on-going effort to suppress true claims and legitimate scientific debate.
And that, in a nutshell, is what you could expect from any governmental war on mis/disinformation.