As a first step, after processing the new data, I carried out a PCA analysis (in smartpca with no outlier removal iterations), combined with various Turkic groups, as well as a few neighbors of Anatolian Turks, combining data from the literature and the Dodecad Project.
The Turkic cline from East to West Eurasia, observed by myself and others in various experiments is again evident.
The blowup of the above, focusing on the West Eurasian portion (top right) is easier to read:
As always, population labels are placed in the average position of each population. So, for example, the Behar et al. Iranians_19 sample is shifted to the left, because of the existence of a few African admixed individuals in this sample. The Iranian_D sample of Project participants seem to lack this admixture.
Also, note that since there is no South Asian reference in this first experiment, Iranians overlap with Turks along the first two dimensions. As we've seen in the Dodecad Project, both Iranians and Anatolian Turks are "eastward-shifted" relative to other West Eurasians, but the former have a strong South Asian- and the latter a Central Asian- tendency.
The new Kyrgyz sample falls between the Kazakh and the Altai along the cline, and is more "eastern" compared to the Uygurs and Uzbeks, and more "western" compared to Altai, Tuva, and Dolgans.
Kayseri and Istanbul Turks overlap with Behar et al. Turks as well as the Turkish_D sample. The Aydin sample appears to be more heterogenous, with a more eastern overall center of weight. More on this below.
I also carried out a K=3 ADMIXTURE analysis of the dataset.
Below are the population portraits for the three new Turkish samples, as well as the Kyrgyz sample:
UPDATE (17 Feb):
I have also assessed the new data with the K12b calculator. Below are the normalized median proportions.