As far as we know – there is none. Irish is much more closely related to the aforementioned Polish than to Arabic or Hebrew, as both Irish and Polish (and English, Spanish, Icelandic, Greek, Albanian, Armenian, Farsi, or Hindu…) are Indo-European languages.
There might be (although it’s not generally accepted) that far enough in the past there was
some connection between Semitic or Afro-Asiatic (macrofamily of which Semitic languages are part) languages and Indo-European languages – but then again, Irish would be related to Arabic in the same degree that Polish is related to Arabic.
There are
some interesting similarities between Irish and Semitic languages (like conjugated prepositions) that led some linguists to hypothesise that some Afro-Asiatic language might have been spoken on the islands of Britain and Ireland before the Celts came there – but then it seems such features aren’t that weird for verb-initial languages in the world in general, so all those similarities are probably just a coincidence. But if you’re interested,
Langfocus made a video about them.
But important thing is – the similarities aren’t in any way systematic and they don’t stem from any inherent relation between the languages.