Right, combined we have a very significant processing power. Which consists of what? 50,000 GPus, 100k GPUs at best.. Give me $100M and I'll quadruple current hashing rate at minimum. What's $100M for a country? - it's like 100 dollar bill to me and you if not less
No you don't: maybe you need 2 times that for build and mantain it for 6 months. To run a mining farm of 30.000 superpumped 3x6990 rigs (that will do 3X the actual hash power) you need at least 500 full time employees (in 6 month at least 30 million $), (Godaddy has 1500 technical employees for 60.000 servers)
There are energy bill to pay even if is a governative installation (at least 20Million $ for 6 month paying 0,05$/KWh). Add a good 10 million $ of network infrastructure and connectivity (I don't calculate a redundant 10GBit connection to internet assuming a govern can obtain it almost for free) . UPS and backup generator will cost you another 50-60 million $ (we are talkin of a 90MW, a small power plant - a similar one, highly ecological, built 4-5 years ago costs about 200M$). The cooler must be really efficient to work in a similar environment (one rig produce 1,5KW of heat, like a powerful server with 8CPU and 24 disks. But no server farm hosts 30.000 of that servers for what I know ): at least 30M$.
The 30.000 rigs wil cost at least 40 million $ (I've considered a 20%-25% less than the wholesaler prices, probably lower than the price you can have buying a bigger stock directly from producers, and with no assembly cost).
Total: 200M$, plus the building, the connectivity, the security (both from hackers and physical assaults). If you're in hurry to build it you can easily double the costs.
Overall if a govern wants to kill bitcoin, it's still a small investment to do.