Well, that's an entertaining idea, but I think you're asking
Hmm, I thought that he is elected President after his service in Oklahoma, maybe sometimes after the presidency of Benjamin Harrison, which ended in 1893. The trouble is, that Parker only lived until 1896 OTL. But the Ohio idea could sell out maybe, too. But his image as the hard frontier judge surpasses his civil war record definiteley. Maybe he somehow becomes the running mate of another Republican somehow ? Would be interesting if Mr. Bass Reeves could also become involved into politics due to his decade long service for Parker...
Well, that's an entertaining idea, but I think you're asking a
lot from the late Nineteenth Century, unfortunately.
Reeves is a great character, however, as are Parker and Clayton; part of what makes the Indian Territory/Oklahoma frontier such a unique environment was its status as unorganized federal territory in the middle ground between the Nations, US states/territories/settlement, and the ripe mix of ex-rebels, loyalists, reconstruction, pro- and anti-US "Indians" and every one else in the region in the era; it's a frontier society to the
nth degree.
However, they are all interesting examples of the scale of the US mobilization in the Civil War, historically; Parker served in one of the "emergency" Missouri regiments for local defense duties; Reeves, although he would have been a great candidate for the USCTs
or the IHGs,
never served; and Clayton did serve, albeit in one of 1862 9-months regiments from Pennsylvania, and then for a short service term in a Pennsylvania Militia/State regiment in 1863.
The point being, of course, that all three of these men - and those who served alongside Parker in the 61st Missouri and Clayton in the 124th Pennsylvania Volunteers and the 21st Pennsylvania Militia - were not atypical, but their activities in 1861-65 tend to fade compared with their postwar service.
Best,