It's plausible that Turkic *bir 'one', *barmaq 'finger' and *ber 'give' are related. An analogy to the relationship of *barmaq and *ber is the English verb 'to hand'. However, if the route were through the meaning 'hold' (perhaps originally only by the fingers), PIE *bHer 'carry' might also be related.
However, even if *per had the semantic evolution 'one' > 'first' > 'in front' (any examples for the second shift?), that does not mean that *per is not PIE, though it would argue that the Nostratic form meant 'one'. Given the variation in
the PIE forms for 'one', perhaps it was a
cluster of forms that had just taken on the meaning.
However, I think that the primary meaning
of Semitic *ra?s is 'head', and that it has no connection with the _cardinal_ 'one'.
Incidentally, I haven't heard anyone on the list argue that everything derives from IE: on the contrary, I have heard it seriously argued that some PIE words and even 's' mobile are (para-)Semitic.