MF - There are more countries than just the UK & US in the world (and the Swiss, of course) For me, just trying to get a new passport because the old one was full took 6 months - & that was the EXPEDITED service. There is no way on earth that I would ever be allowed to have duplicate passports: the only way I'd be able to get round the problems you mention is to have the Israelis stamp a stapled-in sheet which can be discretely removed when visiting their enemies.
Do any airports in the US have a 'fast track' immigration system (like Heathrow)? Logan doesn't, and there's generally one immigration officer per flight-just-landed in the non-US section.
Too bad about losing your tax break this year...