Depends on how you define "minimize" in your case because you either want/allow any government interaction of not - it can't be something in between...

If you want to completely block/ban government from interaction you need to implement it on a PoW level trying your best not to introduce a breaking changes (soft fork) but not postponing it if the situation requires the network to pay the price of agreeing to new consensus rules (a hard fork) which in my opinion classifies it as a security related instead of privacy

On the other hand, if you somehow think government somehow have to be involved in any sense (custody, audits, refunding lost funds, insurance etc) then we should basically allow a backdoor (what's btw the case with today's banking system) which then makes it more a privacy (identity and filtering) related