That traction control needs a on-off switch, as it is no good when you are trying to get out of a mud hole. My F150 is probably the worst off-road 4x4 I've ever owned. Concerning road manners, it is the best I've ever owned, which is fairly predictable.
I don't know what year your Ford is but mine has a simple button on the centre console, you just push & hold till it the icon stops flashing in your instrument panel.
But I do agree you should have to push to engage instead of disengage.
