If you get the correct cables, they will attach to the existing linkage. The end has a threaded 10-32 end. Note that Teleflex is now Seastar so look for Seastar Extreme control cables.
I have had a past experience where Grady when asked gave me the length for my cables but it was incorrect and I had to exchange them. It helps if you can find the actual current length that is often printed on the cable. The old printing seems to fade slower on the helm end as opposed to the motor end.