Not recommended, to put it mildly
While their argument of “We need access to digital networks and devices, and to the data on them, when there are reasonable grounds to do so" might be laudable, if the government has access, then regardless of how altruistic their intent might be, then so do the bad guys. This is completely leaving aside any issue of corruption within the government itself, which is also a possibility. Invariably, the methods that the government uses to access such information will get leaked, or else somebody else will figure it out and suddenly everybody's at risk.
And, in fact, this will make law enforcement's job much harder, not easier, because they will additionally have to defend the public from the nefarious people that use the exact same measures the government would use to access otherwise personal and private information.
And while, sure, you can go and say that doing that would be illegal, catching the perpetrators for this sort of thing can be effectively impossible because there's no guarantee that they are even in their jurisdiction, so bad guys could continue to access the public's private information with impunity and the damages to completely innocent parties would be incalculable.
So no..... just no. This is a BAD IDEA (tm) all the way around and the entire concept should be aborted immediately. Regardless of how good their intentions might be for something like this, it opens up a can of worms that absolutely nobody will ever be able to fix.