With such a high value, the number of transaction per second will need to follow up... but we are still stuck at non-segwit 1MB block. Only when we all solve the current stalemate, the value will break the $1000+- psychological barrier...
the block size will only affect adoption of bitcoin as a currency, and although it may also affect price but it can not stop it. price will go up because people treat bitcoin as an investment anyways.
and besides the block size will be fixed one way or another, the miners can not ignore the problem forever and continue like this.