If they're militant CRNAs who hate being directed, and the local culture has tolerated blatant insubordination to the point that they won't follow direct instructions in the heat of the moment, then the problem probably isn't fixable. You need to quit and find a better job. That place is broken. Life's too short to put up with toxic groups. Leave.
If this is an aberration, not usual behavior, explain at the earliest private opportunity that it's important that when you make a decision and communicate that decision during a time-critical event, that they need to follow instructions right away. Emphasize that it's always OK for them to speak up if they think a mistake is being made or if there's an imminent safety issue, but in all other circumstances they need to follow your lead. Discussion OK later.
I wish I could say I do this all the time, and do it well. Call it an aspirational goal.
Just a couple weeks ago after a CRNA did something contrary to what I directed (through carelessness - not willful insubordination) I was alarmed and more than a bit upset about it. I corrected her on the spot and explained how dangerous what she did was in front of the surgeon and scrub. This was dumb ... the issue was already resolved and behind us in the case, and correcting her in that moment was the wrong thing to do. It also gave the surgeon and scrub reason to doubt the quality of care we were giving. I should've done it in a private debrief afterwards. I have undermined my future ability to work with that CRNA a little, and it'll take effort to fix that mistake.
To get back to your original question about a CRNA who wouldn't yield a procedure to you as it was going poorly, it's better to avoid that entirely. You can largely do so by being direct and unambiguous in those situations. Use words/phrases like "stop" and "give that to me" if you need to interrupt them and take over. If they hesitate, be direct in word and tone ... "no stop give that to me" is better than "let me take a look". You're not asking.
In order to do this without being resented, you need to have previously established a reputation for being reasonable, competent, and collegial. You do this by
- Genuinely respecting them as advanced practice nurses. Even quiet disrespect or contempt is always perceived. And if you can't respect them for what they know and can do, then you shouldn't be working in an ACT model.
- Not micromanaging them over stuff that doesn't matter. Most stuff doesn't matter.
- Not being a dick. Be friendly. It's not hard. Say thank you and mean it.
- Be competent. If you take over a procedure, you can't flub around with it. If you make a plan, it can't be ridiculous. It helps if you do some solo work and they know you do some solo work. I'm convinced that many CRNAs in 1:4 practices really think that their supervising anesthesiologist just sits around most of the time. They do all the grunt work and probably wonder if their supervisor actually could do what they do. Sadly we know there actually are some of us who are so ACT-institutionalized that they can't run a case by themselves any more. Don't be that anesthesiologist.
This generally works in the plan-making stage when there's time to discuss but overall I think your "good" example is still too wishy-washy.
I think this is not great:
CRNAs aren't dumb. They're clinicians who spend 100% of their time in direct patient care, and they largely despise administrators and admin-speak as much as we do. Like us, they know that consultant lingo buzzwords, the sharing of feelings, and safe-space empowerment is all complete bull****, one step removed from passing the talking stick around the hippie drum circle to express points of personal privilege. That example is too general and vague to be useful anyway.
Better:
"This patient has coronary disease and awful hypertension so we should keep his MAPs above 75 at all times. We'll hit start on a phenylephrine infusion as soon as we push the propofol."
It's specific. It sets a benchmark for what you consider acceptable vitals and it tells the CRNA exactly how to do it. It explains why. It's not demeaning. The CRNA will happily go along with it. The patient will get better care. Your pulse will stay in the 50s all day because you won't have to sign a chart where such a patient had a blood pressure of 74/36 for the 20 minutes between induction and incision.