Arms Trade Treaty update

Regarding the un-ratified UN Arms Trade Treaty that the Obama administration has whole-heartedly embraced, The Foundry notes:

In a bipartisan letter led by Senators Jerry Moran (R–KS) and Joe Manchin (D–WV), half of the Senate has officially pledged to oppose the ratification of the ATT. The signatories include every Republican Senator except Mark Kirk (R–IL) and five Democratic Senators. The letter, with its 50 signatories, ends any prospect in the foreseeable future of Senate ratification of the ATT.

Question now is, will the White House still press for a formal ratification vote? Let the treaty matter die quietly? Or will the administration ignore the will of legislators and attempt to implement as many treaty aspects as it can by regulation and executive order?