Chuala mi ghaoth's cha n-fhaca mi i.
As a Scots Gael, from the Western Isles, ( You'll notice I've said SCOTS, not SCOTCH!?!) I think of myself as a Gael first and Celt second, but not a "Celt".
Like the saying above, we hear alot about Celtic-ness. In 21c UK the Nuage druids etc are very quick to tell us all about them. Riverdance, and the Highlands tourist board are full of the Enya-esque Tir nan Og. (nothing against Enya by the way!) But we know nothing!
We can feel their legacy but we can not fully see it.
But one word of warning; only the winners write history.

As for being a Gael, we are as much a mix of people as the English,
or any other nation on the face of ther earth. There is a mentality and a wit, that you may not find in other people. As for calling your self a Gael, as long as you can speak the lingo, go right ahead, most Gaels have more pressing concerns then lambasting you for copyright fraud (and would be more intrseted in which Island your from!)
I had better explain my views on "the lingo" befor the GUEST makes some coment.

As a native Scots Gaelic speaker, of Scots and Irish Gaelic history, I feel that the Laguage is the heart of the culture, with out it then there is no Gaeldom, or Gael. Gaelic is the life force, it is our power it binds everything.