If Mizzie hides when the carrier comes out, try putting Marcus in a bathroom or smaller room and put up a baby gate (or two, since they climb/jump) and let them get to know each other through the gate. I did this when introducing kitties. And always do it while you can supervise, because Marcus will probably eventually climb or jump the gate.
If that's not possible get a wire dog crate (or borrow one from someone if you can) and put Marcus in that. It's not the carrier, so maybe Mizzie won't run from it.

Good luck!! I have two cats that still only tolerate each other after 3 years of living together. The female hisses, growls, grunts and fusses when the boy gets near her. Yet she is not stressed out, so it's a happy home still.