I have Thule cross bars with kayak and canoe carriers I take on and off as needed. Mounting the cross bars to the Jeep's roof rails takes maybe 5-10 minutes. The water sport carriers another 5 or so. I don't have a basket, but couldn't imagine it would be all that difficult a task to secure. My bikes are carried via a hitch mount system. I'll soon have a double (stacked) reciever http://www.hitchcorner.com that will allow me to attach the bike carrier while having the trailer hooked up.
Sorry my photos are a little too far away to show much detail. I think another member here (SkinInc) has better photos of his Thule rack system than what I have on file. Lots of others here on LOST have a basket system. Hope this helps.
I take the system off for the winter. 10-15 minutes to put the foot pack and rails on or off. I'd like to have a roof basket some day and have the same questions you do about adding the kayak carriers to the railing of the basket. I use a hitch mount for carrying the bikes. There are other systems out there. This is the one that works best for me.
