You have to judge the situation carefully though; some loose/weak minraisers will call the all-in reraise with e.g. any ace-x or KJ, especially if they have somehow acquired a lot of chips. You have to know if your particular brand of habitual minraiser (habmin) is a folder or a caller.
Either that, or just try to rely on live cards to save you when you get called.
I think this is partly one of those Harrington-derived situations; since most people are looking for the first-in vigorish, some people have worked out that they can minraise any small-ish stack and pass to an all-in, and make chips because so many players will simply fold and wait for a moment where they can be the "first in" with a raise.
The counter-proposal is to ignore limps and min-raises for the purposes of most first-in vig confrontations, unless you have good intel that a player would normally raise more and is now raising minimum because they have a monster. (Another reason for taking notes on all the habmins you see in your games.)