Is your boss aware of their own behaviour?
Your boss notices this "unprofessional" behaviour of yours. Take it into account and improve your own behaviour. One of the more direct approaches is to ask a person you trust and with which you are often in the same situations and agree a passphrase. So your person of trust can indicate to you that your overstepping. This immediate feedback helps with learning cycles.
This shall be your primary concern. Because if you change then you do not contribute to escalation. This will make "heated" discussions easier. Over time it might make you the "cool headed" person to mediate heated discussions. Simply because you were there (are there now) and can read situations easier.
Does your boss wants to change their own behaviour?
Your boss has noticed your behaviour probably (my guess) because your boss still behaves the same. Except they do not want help or no one provides help.
I suggest addressing any vulnerability to do only in a one-to-one meeting. In person. No email, no messaging. (It is only very confident people that can stand an "accusation" that has an audit trail and not react defensively.)
If you address with your boss then ask passively and for understanding like "Looks like you are very passionate on . Why is this?" If your boss wants to talk about you might learn a few things. If your boss dodges the question, then leave it be.
Personally I have addressed this a few times during my career.
In one job I clashed hard with a colleague in the same team over different work approaches. Which led to heated discussions which were loud. Our tones became aggressive as we each "defended our corner".
Our boss took us both aside in a one-to-one and pointed to each of us out that we both were unprofessional.
After a steam off phase we started discussing together why each of us reacted passionately over the next few days. Which got at times heated too. But we had allowed one of our team colleague to call out with "Play Tetris or else". This was for both of us the big "Stop talking and calm down" flag.
Thanks to this colleague and the talks this colleague and I built a great work relationship and worked happily for a lot of years.
Good luck and remember to change yourself first. Prove yourself to others and others just might allow to get help from you afterwards.