While some Republicans have differing opinions on certain things, the party is very much in agreement on the issue of election security. The real problem is that Senate Democrats haven't brought appropriations bills to the floor, which, alongside the House Democrats refusing to ban illegal immigrants from voting, leaves the government stuck in limbo.
Since Republicans know that noncitizens don't actually vote, what other reason could they have for pushing this? One of the most horrific possibilities is that if the passport and/or birth certificate ID rules were imposed, millions of women who don't have a passport and whose maiden name doesn't match their married name could be banned from voting. These machinations are quite possibly leading to a government shutdown.