Judging from your stance, I believe your grew up in a fairly free country (I'm guessing the U.S.A ?), and that you never encountered an oppressive regime where everything you say, do, and all your communications are monitored.
Let me start by using an analogy: In physics, and science in general, if you want to understand a system, you have to explore its limits. How does it operate when we vary the cursor of the variables (e.g. temperature, etc.).
Thankfully, for the {communications, cryptography, warrantless access} system, we've already seen some pretty advanced extremes on the two ends.
I grew up in a country where 20 years ago, ALL communications by post were examined thoroughly, and ANYTHING remotely against the regime had you summoned and probably imprisoned. As you can imagine, this is easily weaponisable by the regime.
I've seen and read about the extremes of how "think about the terrorists/pedos" can vary quickly drift a whole fucking country into a situation similar to Minority Report (2002).
We ALREADY have the means to police our communities and societies. There's a reasons why the folks agreed to seperations of power. That reason is documented in history. Assuming you're american, I'll just hint to your constitution and its 4th amendment. The executive powers DO NOT have business deciding whether to search your home (nor your data by extension), if the judiciary does NOT give them the authority to do so.
You cannot tell me that an independant judge will not issue a warrant given solid proof that someone has pedophilic tendencies.
But telling me that we should search everyone who refuses to be searched because they're the most probable ones to be pedophiles is EXACTLY the most Nazi way of doing things.
All in all, your point of view is not very reasonable. We already have means in place to prosecute and hold pedophiles accountable. But unwarranted search and seizure is not the way to go about it.
EDIT: Sorry read before you added the second paragparh, was not aware it was sarcasm ...