Does the IRS track wire transfers?

No. The Internal Revenue Service (IRS) does not and cannot track wire transfers. The BSA (Banking Secrecy Act) forbids it from doing so. However, the IRS can, via a court order subpoena a bank account's details and/or put a monitor on it for account activity, which will naturally then also detect all wire transfers made in and out of this account under monitor.

The IRS can (as we all know) again with proper authorisation, freeze a bank account.