In Boattini et al 2013, which covers all of Italy, Table S1 shows frequencies by area and also divides J1 up into "J1e", the so called "Arabic" J1 marker, versus the rest. I think that's a bit of a misnomer, by the way. J1e has its overwhelming presence in Saudi Arabia and parts of the southern Levant because of founder effect. It doesn't mean there isn't J1e which was never in the Arabian peninsula. Therefore, J1e in other parts of the world did not necessarily come by way of the Arabian peninsula or even the southern Levant, much less the non J1e varieties. We'd need a lot more subclade resolution, in my opinion, to make these kinds of determinations.
This is the link to the paper. Then just click on Table S1.
http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0065441
Area IV would include the original "Etruria". J1e is 1.6%, and the non J1e percentage is also 1.6%.
Table S2 is more detailed in that it lists the clade, the STR values, and the specific town of origin.
The J1 generally seems to come from Grosseto/Siena and Pistoia because there is only one J1 in La Spezia.
As good as I think the Boattini paper is, the sample numbers are small. For the purposes of this topic I think Maciamo's map shows that J1 doesn't look like it would be
the Etruscan marker, but ancient dna always surprises, so who knows. If it was involved, I don't think it would have been of the J1e variety.