How to control table/matrix date columns with filter?

I'd advise a bit of remodelling in power query so the data's easier for Power BI to work with.

First highlight all the month columns then click Unpivot Columns

The data will now look like this:

Add a Custom Column to have the source 

Repeat the same steps for your second table.

Finally, use 'Append Queries' to get a single table with all the data.

Now you can use a matrix, or any other visual that makes sense, to visualise the data and have a slicer on Attribute (you'll probably want to rename that column in Power Query) to filter just selected months