No, its far easier and more practical to raid your home at first light, seize everything you have, and present you with alternatives so horrible that you'll cave. A bit of shock and awe goes a long way to keep people in line.
This right here is 100% on point. Why bother with the hassle of installing a backdoor on the code when they can simply arrest you threaten you and your spouse with 20 years in prison and tell you if you surrender your coins they will let your wife off and knock your sentence down to 10-15. That doesn't work? Ok you're now declared an enemy combatant(who needs justification, that's why we have the patriot act), no legal rights, and deported to guantanamo. Oh Guantanamo is finally closed? You think that means you get a break? Nope, now you get to go rot in some hell hole jail set up in one of our "allied" (ie colony) third world nations. Enjoy rotting in prison in Turkmenistan.