Joe, you are reall locked into either keeping the old faucet sets or changing the sinks. There are faucet sets made today that fit on the 45deg angle but they will not cover the spout hole that is oblong in the case fixture. There are still parts available for the case faucets (stems,seats & handles) maybe that is the the best way to save the old sinks.If you need to see the stems for the case faucet go to our web site and take a look at the picture of the case faucet stems
Good luck
Scott http://www.plumbingpartsdepot.com