At any given time, a quantum fluctuation, which could disturb the Higgs field, would be creating a lower energy state that would create a true vacuum, forcing the Universe to collapse into itself. So you just relax there boyo. Control is an illusion, we can't control anything. Sleep well.
Your explanation doesn't really make sense. Things like wind are created by pressure gradients. You're implying the same sort of event that creates wind but implying the other side has an infinitely lower pressure gradient that can't be filled to reach equilibrium. If you're implying the entire Higg's field collapses in a row like dominos starting from that point, I guess it's theoretically possible if the Higg's field functions like a connected, uniform lattice, but I doubt it's that simple.
If said event did occur, I think it would behave similar to how black holes already do. Most people cannot define the word time at all, but it's mostly measurement of motion relative to two or more objects. If time theoretically stops inside of a black hole, then you can have no motion and thus no functional pressure gradient, and maybe your infinite pressure gradient (collapse of the Higg's field) would be contained by a black hole firewall. A local, self-repairing function of the universe in other words that prevents full collapse.