@Cycloptichorn,
The Davis Bacon Act is a relatively minor bit of foolishness enacted a long time ago by Democrats as a payoff for union financial contributions and political support. As those things go it is relatively minor in that it doesn't compell union membership for government contractors (that would exceed legislative authority): it only requires that workers be paid the local prevailing union wage. The current administration is trying to extend the act by executive fiat by treating project labor agreements as an evaluation factor in competitive government contracts. That is an obvious payoff worthy of the former governor of Illinois.
I am a Republican, but I don't presume to speak for all of them. To my knowledge there is no ongoing Republican effort to repeal the Davis Bacon Act.