As good a place as any to put this:
http://www.rte.ie/sport/soccer/irish...y-league-blog/
I've written similar things in the past- basically the FAI misses some cheap and easy chances to promote the LOI. It's little wonder that people don't always see the connection between the national team and the league when apparently the FAI don't always do so either.
A Celtic-Liverpool game would be a great place to promote the LOI. These people already like the game- maybe some can be convinced to come along to a few games with some clever marketing. Tap into the GAA style parochial mentality that Irish people have but seem to keep separate from football most of the time. Hell, give out a few discount vouchers for the LOI at it. Maybe it won't work, but at least give it a go.