If you have a 6-month old it's a miracle you get to dive at all! 
This is similar to the question that is often asked about wanting to be able to shoot macro and wide-angle on the same dive. It depends what end results are you satisfied with.
If the aim is to get out, have fun, capture some memories, then sure, why not. But if you want to take serious macro/wide/video, then, in my view, combining different formats is a recipe for muddle. And adding a snoot adds an additional level of complexity and thinking.
The thought process between all the formats is an important element in picture taking or videoing. It's not easy to make the mental switch between one format and another if want you really want is high-quality, well-composed images. The eyes and brain are looking for different things, different sized creatures - all of which impacts how you explore the reef.
Technically it should be doable. If you are using a strobe that should overpower a video light if you have left the light on. A strobe firing may mess up a scene lit by video light - so I'd turn that off.
But, as I say, it all depends on why you are capturing the videos. Something to show your son? Go for it! Something to win a competition ? Make some sales? Or have on your wall? Maybe not so much.
