If this were made today, how would they avoid accusations of racism?
There were no African Americans in the film. Not even in the present-day sequences. During WW2, African Americans did not serve in combat units (except for the Tuskeegee Airmen and one or two other units), or even alongside non African Americans in non-combat units. The African-Americans that did serve were in segregated units and worked mainly in service roles such as cooks and truck drivers.
If Saving Private Ryan were made today, how would the question of a non-inclusive cast be handled? Even in 1998 Spielberg faced accusations of racism for not including African Americans. If he was making this today, would Spielberg just ignore history and cast Idris Elba as Capt. Miller or John Boyega as Private Ryan or would he make it historically accurate and face the inevitable criticism?