My intention was not political w this question of course. Thanks for your opinion.
The idea of Hungarians rooting from ancient Huns and Schytians is more a political than a linguistic view. I wrote about it here a few weeks ago:
http://www.turkishclass.com/forumTitle_56314
The concept of a cognate language may be somewhat dizzy to Hungarian people because Hungarian has no close sister language and the similarities between Hungarian and the Baltic languages are so complicated I probably would not be able to name them right now without checking them from somewhere even though I am a Fennist. If there is a connection between Uralic and Altaic languages it is still further in the history and should have no relevance in the present day languages.
Sorry if I am being dull but the question about the common origin of Hungarians and Turks is too complicated to be solved by speakers of either of the languages.
People are fascinated with origins. Language contacts are more interesting to me. There is proof that close contacts at some point of history are likely to have an effect on both the languages that take part in these contacts. For instance, it is not only Turkish that has affected Macedonian but Western Turkish dialects have Macedonian features in their structure as well. Probably Hungarian also has more traces of Turkish than Finnish, for instance, but they are not there because of a common origin but because of a neighborhood and coexistence later in history.
Btw, Huns were probably Turkic people but Schytians were Indo-Europeans. So...