"Professional military personnel" are not warfighters. How many of those "personnel" (did you mean "troops") have been deployed in a non UN peacekeeping capacity or as troop liasons? Very few. Meanwhile, the US just concluded a 20 year adventure in Afghanistan and Iraq. And has been waving a "big stick" standing behind little brothers in other conflicts. Ukraine's military (what's left of it) is actually battle-hardened and could probably turn around and beat Europe if Russia let up and they were so inclined (I jest, but maybe not).
The "deep state" is not a "conspiracy". It's a form of parallel government. Nothing unique about that in history. (The Roman Catholic Church should be familiar to all Europeans.) The comparison is to point out that there are two "sovereignties" in play (member states and EU) making laws. And when you have two, you have none.