Maybe sets would help. Sets are basically subsets of your data or saved filters. The advantages is that you can combine two sets to get the intersection.
Once you have the filters set on each worksheet, click on the filters and choose Create Set. Then you can click on two sets and select Combined Sets.
Presumably you can combine combined sets
Combined set A = Intersection of Set1 and Set2
Combined set B = Intersection of Set3 and Set4
Combined set A+B = ...