~
Regarding Federal Reserv (M1 money in circulation) is 3.7 trillion U.S dollars and maximum amount of bitcoin issued e would be 21 million, so $3,700,000,000,000,000.00/ BTC21.000.000 = $176,190,476.19
~
You have added 3 too many zeros there.
3.7 trillion = 3,700,000,000,000.00, not 3,700,000,000,000,000.00
And consequently the price for 1 Bitcoin in your Better Scenario would be 176 thousand, not 176 million.
Also, I think right now most people are so afraid of cryptos that they would not accept free satoshis even if the rich holders were giving it away(which is very unlikely, but that's another question).
Thank you for read and correct me, I am so sorry, it was a big mistake (3.7* 10^13 =
) I'm going to rectify right now.