I believe that it will hit 5.000$ in a really short period of time before going down to 1.800-2.000. To prevent the network from stopping I think that some governments/banks might start building huge mining farms to keep the network alive, much against the idea of being decentralized though
That makes no sense absolutely
First, why would any government (let alone banks) want to support Bitcoin in any way (if in word only) when both governments and banks alike would be better off without Bitcoin and them having to compete with it? Further, it makes no sense to support Bitcoin network by adding more processing capacity since it is an outright waste of resources on its own. There are ways to expand the network as well as increase its processing capacity effectively and efficiently without building more mining farms. And last, Bitcoin rising to 5,000 dollars per coin, or even to 50,000 dollars may not necessarily mean increase in the number of transactions. After all, prices grow on exchanges, but the latter don't depend on the processing capacity of the Bitcoin network in any meaningful way