Its very unlikely that Safeskys would get anywhere with their "bid", but if they did, Serco would almost certainly undermine them by retaining existing staff on fully paid "gardening leave".
As far as I know, and please correct me if I am wrong, Safeskys is not only "not your normal ATC Contractor", but has not been the contracted ATC Provider to supply the full quota of ATCOs at any UK airport for a number of years, if ever.
They scare birds very well, so they may have a use in Gibralter, but I can't see them being considered for anything else.