No, I do not believe that Russia should face military action if it is found to have been involved in the hacking of DNC emails. There are many facets to foreign relations which must be taken into account before engaging in military action. While it may be threatening that Russia has violated against the US, it's also possible that taking military action will just add fuel to the fire.
Russia should not face military action if it is found they were behind the hacking of DNC e-mails. There should be some form of punishment, such as increased sanctions. However, military action goes too far and endangers American lives with no clear objective. Russia could be brought before the U.N. and made to answer the charges.
Many suspect Russia is behind the hacking of Democratic National Committee emails. However, if Russia is indeed guilty, it should not face military action. The United States does not need to go to war with Russia over this issue. Instead, the United States should invest more in cyber security and fighting cyber crimes. The response should be a cyber crime unit that hacks into a Russian computer system.
Although proven complicity in the hacking of DNC e-mails should certainly be subject to diplomatic action I do not believe that involving the military would be warranted or desirable. Creation of a diplomatic incident would be justified and I think that this would be the safest and fairest course of action for the international community to take.