The Ireland UK tax arrangements are different to other places. There is a thing called trans border relief which makes life easier for people living in one tax jurisdiction and working in the other.
To be a bit nerdy about it I understand it came out of the Good Friday Agreement and the end to the troubles in Northern Ireland. People who cross the border to work are referred to as frontier workers. The rules governing these differ from the standard Europe wide trans border workers.
Its a complex area with lots of rules so what I would recomend is that you contact an accountant in Dublin. If anyone wants the details of the guy who we dealt with PM me and I will give it to you. He will give you details of how he will operate your taxes. You can then take this to an accountant in the Uk and ask him for his opinion on it. If the UK accountant is happy then why not.
There are thousands of people commuting between Ireland and the UK every day for work. The North South ministerial council, which is is responsible for this intiitive is a body consisting of ministers from the UK, Ireland and the Stormont Assembly. The Inland Revenue are not going to mess things around for a body like this for the sake of a few hundred pilots who are, at the end of the day, fulfilling their civic duty and are tax compliant.
On this point bear in mind that if you do become an employee in Ireland you will pay national insurance in Ireland and eventually qualify for a Irish state pension so your leeching off the her majesty will be limited to using her roads, for which you pay car tax and excise duty on petrol, her health service unless you have private medical insurance or availing of the security her government provides on the streets of Britain. You will still pay tax in the UK for water, bin collection and every other service provided by the government. So don't feel too guilty about only paying a small amount of income tax in Ireland and none in England. You will still be a net contributor to the ecomony in the long run