We report new results from CDF~II on single diffractive dijet and W/Z
production, and on exclusive production of dijet, diphoton, and
dilepton production in $\bar pp$ collisions at $\sqrt{s}=1.96$~TeV at
the Fermilab Tevatron. The results are compared with theoretical
expectations, and the measured exclusive dijet and diphoton cross
sections are used to test theoretical predictions for exclusive Higgs
boson production at the Large Hadron Collider.