AXA Broker are just the broker sales channel of AXA. It's common for insurance companies to have different channels, i.e. direct sales, brokers, tied agents and although they may all sell the same products, there may be different rates and offers available through each channel. Nothing unusual there.
The whole AXA UK thing, I don't know that it's relevant. People have been worried about products offered by 123.ie before because they were underwritten by UK based companies. However, I would doubt that 123.ie are selling cover that is not applicable in the Irish market.
To allay any concerns you have, firstly go to 123.ie and see what they say, and if it is a UK company who are providing the cover, call the Financial Regulator and see what they have to say on the matter.