What is going on? Labour MPs link to right-wing group

Left Foot Forward has published a powerful expose of the Labour right's links with the neo-con Henry Jackson Society (HJS). It reports that recent statements by at least two HJS members, including the executive director, took stridently right-wing anti-immigration stances.
http://www.leftfootforward.org/2013/05/labours-links-with-the-anti-immigration-right/ Yet the HJS lists 11 Labour MPs as Political Council Members! Just what is going on?
http://henryjacksonsociety.org/people/council-members/