This Binance news probably won't have much effect on Bitcoin.
Although Binance is the largest exchange in terms of volumem Bitcoin has been traded in the US for years now so having a new office open can't have that much of an effect. There may be new traders registering, but given KYC is also required the same way, they probably already have accounts on Coinbase and are already trading nonetheless.
It will give some effect since this legalization will increase the number of traders in Binance, this will also increase the demand where a lot of investors will be added and coins to be transferred to Binance.
Legalization of binance will be the first step for some other countries to accept crypto in their countries. This will become the trigger for them to move and start to accept crypto from now on.
Binance do have an impact on bitcoin market but not that big and fast. Little by little Binance known for its many altcoins in its market helps crypto currencies particularly bitcoin become mainstream. The US government is not really against bitcoin after all, as we can see there are many exchanges already in the US. The US just impose very tight rules on bitcoin and crypto currencies because it is decentralized.