One would certainly be welcome to. It's a political statement, which is what the Senate floor is used for, politics. It's a lot more dignified than Harry Reid reading his history of Searchlight, Nevada.
If you are looking for something 'dignified' then the Senate might be the wrong place to look ... seen a Ted Kennedy speech recently?
My beef here is with the same cabal of prigs that immediately start in with the "Tancrediots won't like this" nonsense. There are about 7 extremely self-righteous FReepers who throw around the words 'racist' and 'xenophobe' any time someone argues in favor of law or tradition ...