If you are going to use a big exchange in the future then you will need KYC.
If you are using fiat and your bank account to make an exchange for bitcoin then you are already leaving your identity behind no matter what method you are using.
The only other way to get BTC will be on the black market.
Wrong.
P2P markets exist too.
Would that put you off?
The KYC itself when dealing with bank transfer doesn't put me off. Altcoin exchanges dealing purely with cryptocurrencies requiring KYC does.
How many BTC users actually care about privacy?
It depends on which group you are looking at.
The newbies who care about making profit and think bitcoin is a cash cow to make them rich overnight don't care about that many things which includes their privacy.
But those of us who accepted bitcoin as a decentralized currency care a lot about our privacy and we don't really go to exchanges in first place, this is a currency after all and it has to be earned
