Well, when your biggest fear is losing your ship/aircraft/command, then you best not leave the harbor/airfield/country...
Seriously, military service is dangerous but if they need a lot of power without having to carry a ton of fuel then nuclear is the way to go. It works for our subs and carriers.
Who dares wins.
—SAS
The US Navy commissioned 9 nuclear powered cruisers. CGN41 USS Arkansas was last to be commissioned, in 1980. CGN37 USS South Carolina was last to be decommisioned, in 1999.
The problem is that even the latest generation submarine reactors are just too big to stick on a Burke. The Zumwalts are big enough to mount one, but we only built three. And then wasted a bunch more money on the LCS.
Oh, also, the Navy cancelled several promising fusion reactor programs at the behest of the Democrats.