Thank you all very much. Your replies really helped me learn about some models that I hadn't really considered before. While (re-)checking out the manufacturers/models you recommended, I realized that I don't even need MIDI ins/outs (because the only MIDI device I use is connected to the MIDI input of my MIDI keyboard controller), so I considered some of the "no MIDI" models as well. Below are my impressions so far.
Babyface Pro: I'm sure this is fantastic in terms of both sound quality and stability. I seriously considered buying this, but it won't fit in the space where I want to put it (maybe it will, but it will be hard to see the meters and access the buttons/cables), so I'll have to buy longer monitor cables and some device to put it on. If it was a half-rack style, I would buy it, although it's very expensive for me...
UltraLite-mk4: I'm very certain I don't (and won't) need more than two inputs and two outputs. I can imagine myself telling myself "I paid extra money for what I'll never use"
every time I see the many outputs on the back panel or the many channels/routing options in its mixer software.
Microbook IIc: I need two mic inputs (one for a condenser mic through which the singer sings, and the other for a dynamic mic through which I need to talk to the singer), so I had to drop this one. It seems to me that MOTU isn't interested in people who only need 2 mic ins, 1-2 guitar ins and want to record high quality audio at home. If they had such a model that is positioned between UltraLite-mk4 and Microbook IIc, I would buy it.
UAC-2: At one point this became the top candidate. I saw very positive reviews, except for some driver issues which may have been fixed by now, but there were three people who said the quality of the headphone amp was not very good (e.g. rather opaque in the high frequency range) or horrible, which discouraged me from buying it...
Audient iD14: This excited me the most. There are lots of positive reviews on Sweetwater, and the sound quality seems the best in this price range. It's not a half-rack style, but I think I can put it in the limited space on my desk and won't be difficult to plug in/out the cables. But I watched a YouTube video this morning and learned that the Mic 1 and Mic 2 faders in its mixer software aren't for adjusting the input gain knobs (on the unit) or the record levels...
Scarlett 6i6 G2: I didn't quite understand the explanations in the above posts about the Scarlett's software mixer, but it seems to me that you can't see the input gain value. Maybe I'm mistaken.
So, I haven't decided which model to buy yet. What I really learned in the last two days is that the Quad-Capture is the only interface that meets my needs perfectly, and it's so unfortunate that the device causes my heavy projects to go silent.