Stay out of the argument ("I like all you guys, I don't want to be anybody's enemy, I wasn't there, I don't know the facts, I know you'll all get this worked out") and focus on yourself and your patient.
A smile and silence is your best response. Unless it's a matter of ethics or safety or something of substance.
BTW, if the techs are doing what the nurses ask, there shouldn't be any issues. If they don't want to do what the nurses ask, they maybe need to do something different.
My best techs are the ones I can trust to do their work and do it well. And interestingly, we never have a disagreement.....