Given that all your team-mates do this, it is likely either triggered by something you do without knowing it, or has become a cultural norm in the team. You don't need to figure out which one to solve the problem.
Back in the days of newspapers, reporters would submit a story and then editors would decide how much of it there was room for. So a 12 paragraph story might run as 12, 11, 7, 4, or even 2 paragraphs. Editors didn't have time to rearrange the story either, so it had to be written in a way that still made sense no matter how short it was cut. Lead with the important thing, then add details, any of which can be chopped.
You can take this approach in meetings. Start with the conclusions - "I can do that", "it will take 3 weeks", "the client hasn't told me yet", "it's all on schedule" and then add details in bite size chunks, pausing occasionally to see if that's all your teammates need. If they then pick up the thread of the conversation, it doesn't mean they interrupted you, it just means your turn served it's purpose and now it's someone else's turn.
Saving your best point or conclusion for last leaves you frustrated when your turn ends before you got to make your best point or conclusion. Turn that around and you won't mind so much when someone else starts talking.