That may be what you would do but no one knows if that is what Meghan wants. She may love her dad unconditionally and won't be open to locking him out of her life.
Harry handled the situation in a good way, he was polite but revealed nothing to him; that is how Tom should be handled. They all now know he can't be trusted and have to be careful when around him. I think Harry will continue to have a relationship with him but I don't see Charles, William, or the Queen being receptive.
Then Meghan will deal with him betraying her constantly. He has done it three times now. How much can someone take? Frankly, I think it will just go back to how it likely has been. They exchange pleasantries and keep it moving. No doubt Harry is completely done with him and their future kids will not be around him. The BRF will do what is best for them and will overrule Meghan if they have to. Not that I think it will ever go that far because Meghan has shown to cut out the toxic in her life.