The Schlieffen plan was the plan to fight a war on two fronts: Russia and France. From what I've learned, Russia was allied with Serbia, and Germany was allied with Austria-Hungary. If France had no quarry with Germany, why did Germany decide to attack France?
France and Russia had been allied since 1894. After slowly inching together diplomatically, chiefly due to their shared insecurity about Germany, they signed a formal treaty in this year. The treaty was popular with France, who had previously been relatively isolated among Great Powers, and was also quite popular in Russia - although Russia had a substantial pro-German lobby and a tradition of alliances with Prussia, the state that Germany was a quasi-successor to, many Russian opinion leaders had become suspicious of Germany for a number of reasons, chiefly because of Germany's status as protector of Austria-Hungary, whose Slavic territories they coveted, but also due to their fear that Germany was planning to annex Russia's Baltic territories, which were dominated by German-speaking nobility who still had ties to Germany proper. The French alliance was a particularly cherished project of what we might somewhat anachronistically call the pan-Slav 'lobby' in Russia, who sought to liberate the Slavic minorities in the Austro-Hungarian and Ottoman Empires, and who saw Germany as the main obstacle to this. France's need for an ally against Germany had a simpler explanation in that Germany's annexation of Alsace-Lorraine was still viewed as an illegal annexation in France, and rising nationalist sentiment demanded a return of the two provinces - something that was only realistically possible if Germany was defeated in a war.
So the Franco-Russian alliance didn't just exist, it was formed around the two country's shared enmity with Germany. At the time the Moscow-Paris alliance was seen as a success, and it certainly did make things more difficult for Germany - it also preceded the Anglo-French alliance. But without it, as you've pointed out, World War I would have likely been much shorter and less bloody - although it would also, without Anglo-French involvement, have likely resulted in a pretty swift Austro-German victory.
Source: Roger Magraw, France: The Bourgeois Years, 1815-1914