Clearly, the number of transactions per block must rise higher than 1000 in order for this to be viable with bitcoin at its current price.
This is not enough. Users should pay $6 per every tx. Only to remain current price

So you are saying Bitcoin has a P/E ratio of ~10,000:1 or so?
Quite high even for tech but not outside the limits of imagination for an asset that could be, in the eyes of it's supporters, the foundation for a new universal value regime.
Of course those who use language like that are quite often using it to refer to religious beliefs. Zealotry has frequently paid much, much higher prices for its idealism.
Suppose the price per Tx rises by a factor of 10, and the price of BTC drops by 75% to come into line with the approximate cost of overpowering or capturing the network's security. P/E of ~250 would not raise many eyebrows on Wall St.