Out of curiosity, why are they designed to be so difficult? If you're targeting a fast-flying jet in the heat of battle wouldn't fiddling with the controls for a couple of minutes mean that the jet's already moved on?
In an actual conflict Patriot batteries are actually automated for a few reasons. As you said, because when a fast-flying jet is passing through the Patriots relatively limited effective range, there's typically less than a minute to acquire the target and fire the missile. Without going into too much detail, the ideal Patriot engagement occurs when the target is as close to the battery as it's projected to get, in order to minimize flight time of the missile and early warning to the aircraft (which also presents a danger to the patriot battery via anti-radar missiles.) So everything has to be calculated (aircraft speed, altitude, direction, trajectory, presence of IFF,) and decided in a few a seconds. The only real "control" manipulated in conflict is an "abort" functionality used to stop the computer from automatically acquiring a target and firing at it.
The result of the system being in "combat mode" in OIF was the accidental destruction of a British Tornado & a Navy F/A-18. An Air Force F-16 was nearly shot down but quickly reacted to being painted by the patriot's radar, firing his own HARM missile, destroying the Patriot battery. Fortunately, to increase crew & control pod survivability in a conflict, the control station is located some distance away from the actual missile launcher.
Now that I've typed all that out, I can't believe I know so much about Air Defense Artillery, quite possibly the worst branch in the Army. :biggrin: