I second the preamp advice. I sort of hate to, because I think the Pretek, Powertek and Intek were three of Linn's best value amplifiers, but your system looks fairly well balanced now. I don't think a Mimik would be any improvement at all over your Arcam. (I really think you should forget the Classik.) I thought the Genki was pretty good, but when I heard the Ikemi I forgot the Genki and started thinking about spending money I didn't have.
IMHO take as big a step up as you can on a preamp, like Lugnut says. If you must stay Linn you might get lucky on a Kairn in the next 6 months, but if Lugnut's right about the preamp being next, there's a good chance he's right about a Syrah too.
_Then_ look for a new CDP.
Be of good cheer, super preamps can be found. I can also recommend a Klyne SK-5A like mine. This would cost a respectable amount under a grand, used, if you could find one. However the real glory of the Klyne is its phono stage and there's not much point if you don't play vinyl.