In Turkish music, the "G" clarinet is used. The players in that video all have pro instruments. The folk instruments are made from olive wood, or from metal, depending on the era and what the player can afford. I had Hammerschmidt make me a Grenadilla pro-level G Clarinet a year and a half ago, and it sounds great, sort of in between the timbre of a soprano Bb clarinet and an alto Eb model.
The Turkish, Balkan, and Gypsy styles (all closely related to each other) tend to be very loud and raucous, with a bit of vibrato besides. This is actually what informed early jazz music, as some of those players had crossed over from those styles. Some players -- especially in Greece -- may use a "C" soprano model. But the "G" model, which goes a bit deeper and has a rich and full sound, is by far the most common.
Neocymatics Clarinet Collection includes every clarinet voicing imaginable (not quite true, but it has more than any other library). Expensive though. And Sonokinetic Shahrazad also covers this territory, as does Ancient Era Persia, Tari's earlier Anthology 2 Spiritual Wind from Bela D Media, the ancient Q Up Arts Voices of Istanbul, and of course emulating the timbre using SWAM Clarinets from Audio Modeling.
In the original Bela D lib, the user manual shows a metal clarinet, but it sounds very much like blackwood. The newer Persia lib doesn't have a picture in the manual, but sounds raunchier, either due to the playing, or the material. It too does not sound metal; it could be olive wood, or blackwood with a VERY loose embouchure and super-soft reeds (which is common anyway in that style).
Shahrazad doesn't sound like metal either, but could be olive, the more common wood in Turkey (but not in Greece, Romania, etc.). I don't see a way to control the overdone vibrato, in single-note mode, but the recorded phrases are extremely well done and are idiomatically accurate, and that's the main gist of this library.
Voices of Instanbul is a metal clarinet, but the patch is barely 2 MB in size as this dates back to 1980's Akai hardware samplers, so most of the notes are sample-stretched. It's also gimmicky with delay etc.
Not sure if you were now going to try to cover both instruments, but as some of the same libraries are involved for both, I thought it would help to describe the Turkish Clarinet choices as well.
Remember for all of this, that quarter tones are an important part of the music. They are generally fingered using half-hole techniques, such as one does on Baroque Recorder, rather than "lipped". But pitch bend could be defined to cover the quarter-tone range, if you also define the scale to match. You might be just as well off with well-recorded phrases though, for clarinet and violin.
Again, based on the video you linked, it seems you are aiming for a professional sounding group with quality instruments vs. street musicians with bent-up junkyard relics.
Hopefully all of the perspective that people have provided here, will help you narrow down the factors that actually matter for your eventual choice.