If one receives bitcoin that is connected to a criminal address will that person be indicted too? Will every address connected to such account be tagged also?
Even though bitcoin is open and transparent, you can achieve some degree of anonymity using it. You will never be 100% anonymous 100% of the time, but you can be "pseudo-anonymous".
For example, if you received some bitcoin from an exchange you made KYC, those coins will be somehow linked to your personal documents and identification.
However, you can send those coins to a bitcoin mixer or to a coinjoin service. Those services will mix your coins with someone else's coin, and give you back other coins which are not linked to the ones you sent them, in a fresh new address.
You can read more about this kind of service here:
https://bitcoin.org/en/protect-your-privacy
Limitations of mixing services
Some online services called mixing services offer to mix traceability between users by receiving and sending back the same amount using independent Bitcoin addresses. It is important to note that the legality of using such services might vary and be subjected to different rules in each jurisdiction. Such services also require you to trust the individuals running them not to lose or steal your funds and not to keep a log of your requests. Even though mixing services can break traceability for small amounts, it becomes increasingly difficult to do the same for larger transactions.