I think that would be more of a fusion rather than intergration?
I know it's a foreign concept for you, but this is the way singletons live

We have debates within our minds with what to do on many fronts... and ultimately make a decision that we hope will be the right one.
Learning how to make such decisions when you have both (or all) solutions or options "in mind" may take a bit of time, but it will happen. (As opposed to switching and allowing one alter make the decision and living with it.)
TC!