Hard fact *Nothing*
If they are regulating it , that means more people will be able to use it more without any further ado. For most people who rely on governmental system, they tend to believe that whatever the government might approve will actually be good for them. Therefore we might be able to get more investors.
With the regulations , it would mean that the Bitcoins and other cryptocurrencies will be protected by the law , which is more + point for us. As long as the regulations are not unnecessary and excessive we are good to go.
America is not influential , America *was* influential , we have all seen the economy shatter and the political unrest. Right now I just hope they set a better example for everyone alike.
I would like to believe that , the regulations will bring more of a positive response from the public, since the government clearly doesn't want to ban Bitcoins there.
This is my take here. If finally they will have clear regulations towards crypto, then people will trust that this entity is legit as many people are still looking at it in a negative way. If they see that their government is recognizing it as a legal subject, then they will have more trust in dealing with crypto. Just like when PayPal introduced that they will be accepting crypto in their system. So for me, there will be positive consequences when US finally have clear regulations on crypto.