There are quite a few domestic impacts of the war on terror: domestic spying and the USA PATRIOT Act are two huge examples. In the context of "bankroll law enforcement while diminishing the civil rights of citizens" it's nearly identical to the war on drugs domestically.
In terms of domestic spying, it's hard to articulate any practical effect it's had though. People have certainly reacted to it (see the move to TLS everywhere, for example) but I can't actually think of any enforcement actions its linked to. There's almost certainly parallel construction out there, but compared to the war on drugs, which has lead to mandatory minimums, constant police harrassment, no knock warrants, etc, I'd have to concider the war on drugs the higher priority target for fighting.