As mentioned, using the strobes to avoid direct flashing can prevent backscatter, but if you''re using natural light or doing macro it would be alright.
Then a lot of people are still considering upgrading the Ikelite + strobe to avoid the shadow. Next time check how the housing is designed and you will have an idea. The shadow is caused by the lens extension part of the housing, if you get a chance look at the duffusers used by different housings, you'll probably realize: if the diffuser is sticking close to the internal flash, shadow will happen. Some of the diffusers are extended all the way, starting in front of the internal flash and go along side by side with the lens extension, the actual diffuser (the white plastic cap) is right next to the end of the lens extension. The light from the internal flash is guided to avoid the shadow. Check this out next time.
So the solution is, if you are good at DIY, hands on stuff, or if you know someone that can do it for you, you can modify the diffuser to avoid the shadow. Form a tube/wave guide to direct the light from the internal flash until the end of the lens extension. That will get you going without a new housing. Trade off is some time and skill.
If you look at some wet lens mount, the light is usually guided towards the end of the new lens, that's where they put the diffuser....