I reckon he would - Glentoran are a Catholic Club.
Glentoran are a protestant club but tend not to have the same staunch sectarianism associated to them that Linfield have, so catholic players playing for them never faced the opposition it did at Linfield, etc. (Linfield have also since had catholics play for them too, but it took a long time)
The only real out and out staunchly traditional catholic club in the 'Irish League' (Northern Ireland) is Cliftonville from North Belfast. The other is Derry City and they play in the League of Ireland (Republic). Londonderry/Derry is a catholic majority and the trouble during
the troubles at games vs clubs like Linfield were ridiculous so they left in the 70s and didn't join LOI until the 80s.
Things have changed now though, Derry played Linfield in the Setenta Cup a few years back and there was trouble but it looked more like regular English football hooliganism than out and out war.

The way things go at the moment, he could play for the Republic instead. It is what seems to happened with Wilson and McClean.
Gibson and McClean are both from very strong nationalist areas in Derry and they're usually the only ones to declare for the Republic, although the likes of Paddy McCourt had no problem playing for Northern Ireland.
Although Wilson sounds like a British name, he's from a small place which is almost 100% catholic, Stewart is a protestant from Belfast so I'd say Martin O'Neil has two hopes there, but I wouldn't put it past the FAI trying. They'd pick an African kid who hasn't been within 10,000 miles of Ireland if they could and have him drinking Guinness and singing the hunger striker in no time.