You can " hard-tail" a Jazzmaster, or a Jaguar, just by tightening up the vibrato spring all the way, and removing the arm. If you want the strings to angle over the bridge more like a Gibson, or something, you could get a buzzstop. If the mounting posts for the tune-o-matic bridge co-incide with the "thimbles" for the Fender bridge, then mounting the tune-o-matic can be accomplished, probably, by putting tight-fitting dowels in the thimbles, and drilling them for the tune-o-matic's posts.
I would recommend a Mustang bridge, however. You can simply rock it back all the way in it's thimble-pivots, intonate it, and leave it there. You can also "hard-mount" a fender floating bridge by putting the right size of rubber, or plastic, tubing around the bridge posts, which will make the bridge fit tightly in it's thimbles, and prevent it from rocking back and forth.