Ashtray assembly removal

Im wanting to remove the entire ashtray assembly so I can clean it up as I dont use it for ashes, and Im wanting to install a button next to the cigar lighter. There are 2 screws on the top and 2 screws on the bottom below the ashtray lid is that how it comes out by removing those 4 screws?

Also how does the pop down part of ashtray come out that hides the ashtray?