Wilson did originally want to run on a ticket of his domestic policies and only later adopted he kept us out of war after the Democratic convention adopted the slogan for him.
Honestly by the time you've butterflied away the war I haven't the faintest idea what the domestic front is going to look like for the US. Will we be a more contented nation without constant fears and anxieties over a world going to hell all around us? Will the nation be poorer without the revenues generated by selling arms, grain, and equipment to the Allies? The latter will happen, war provides a lot of opportunities. Of course once it's a contained war the US probably goes mercenary and sells to both sides of the conflict, just not as much as OTL.
Also, how does Britain stay neutral here? And why don't the Gerries invade Belgium, they have to be able to get to France. Britain won't leave someone who helps keep the peace in their colonies, nor will they take the hit on their prestige by leaving them to dry.
Wilson would probably be remembered more as one of the great Progressives domestically, some of his greatest contributions, after all, were in the economic spectrum solidifying Progressive victories (because let's face it people aren't going to have an appetite for Roosevelt and Taft's constant trust-busting antics forever).