First of all as a wedge issue there's a certain percentage of independent voters who wouldn't allow that to happen.
Second there are Republicans who support abortion and make that a public stand.
One easy example, the Trump EPA attempted to ban states from setting their own fuel economy standards via an administrative ruling: https://www.epa.gov/newsreleases/trump-administration-announ.... It also went further banning other states from adopting California's standards for vehicles by unilaterally deciding that emissions rules can't apply to greenhouse gases that are emitted from cars....
Oh, no, not an uproar
And perhaps hopeful; it shows a large fraction of Republicans and right-leaning independents supporting keeping abortion legal.