Welcome to FlyerTalk!!

If I understand correctly you're concerned about going to get a replacement passport because you're worried about the IRS finding out. Is that correct? The IRS is going to figure out that you messed up your taxes eventually, so I wouldn't worry too much about that, and I do not think that they can deny you a replacement passport for failure to pay.

When I had an old laminated/glued-on picture passport the cover page similarly started pulling apart and one or two agents said something to me, but explaining that it got wet and damaged got me through anyways. But I replaced that passport 2+ years ago so I have no idea how strict they are about that these days.

I'd pay the extra $100 or whatever to get a replacement now and then another replacement after you change your name.

Any recommendations for Turkey? I'm going for a week at the end of the summer.