It's affected my company for sure - we already have a moratorium on trading through the Suez Canal as well as Black Sea, and now our management issued a directive earlier this week for the Middle East up to just north of Kandla (India) - basically on the border to Pakistan. It's a significant chunk of the earth that we can't send our vessels to. Proposition 301 also had a significant effect on tonnage, specifically of container operators, into the US - essentially ships that can carry 4,000 TEU (twenty foot equivalents) and above will be subject to the additional fees come middle of October - this means that the many big operators are changing their fleet strategy, engaging smaller container vessels on a trade that typically were on the Asia/US trade. Those larger vessels have to go somewhere else which will obviously have an impact on whichever tradelane they are now attached to. Our company was NOT affected by proposition 301 thankfully, though two competitors of ours who are operated by Chinese entities, are affected, despite falling within the sizes/tonnage that is exempt. I don't believe for one second that this administration will not change goal posts when they realize the 'income' earned from these fines will be a drop in the bucket of what is needed to kickstart US ship building again.
As for insurance, besides regions that are considered no-go by our management, normally you just pay a premium on war risk or kidnap/ransom premiums depending on the area. The premium depends on the severity of the region or the likelihood the vessel/crew is exposed to danger. Typically our customers (we are not in the container trade) foot the bill for these premiums.
We also bid on military cargoes and there is a lot of movement now within the Pacific as well as the Atlantic - it appears to me they are busy mobilizing equipment to places nearby for quicker deployment. I recall this happening in 01/02 when suddenly Uncle Sam became very active in repositioning their equipment closer to the Middle East.