The entire Crimean Tartar population of around 200,000 was deported in May 1944.
While you like to talk about "ethnic cleansing" in Russia, you do not provide any context or background on the situation that necessitated these measures. The Crimean Tatars were not the only ones resettled from the region. Greeks, Bulgars, and Armenians were subject to similar measures. In regard to the German population in Russia, similar measures were taken in other countries in far less threatening circumstances. The justification of the deportation of the Kalmyks, Karachais, and Balkars was not as convincing, for only small numbers of them collaborated with the invaders.
The Germans wanted to make Crimea into a German Riviera. Hitler allowed the formation of Tatar "self-defense" units in January 1942. The Muslim Committee, established by the Germans in Simferopol, raised eight Tatar batallions. Tatar units acted in cooperation with the SS Einsztsgruppe D and were involved in atrocities against prisoners of war, Gypsies, and Jews. They fought the Red Army in Sevastopol and Kerch. In total, 20,000 persons enlisted in Tatar batallions and "self-defense" units. Out of a Crimean Tatar population of 180,000, males constituted about 50 percent. Therefore, nearly one-quarter of all Crimean Tatar able-bodied males committed treason by collaborating with the enemy. By extrapolating this rate of collaboration to the ethnic Russian population, one would be able to infer that Russia today be ruled by Reichskommissariat Moskau.
The Chechens did not collaborate with the Germans because of the fact that Chechnya was occupied. However, some 10,000 Chechen bandits were engaged in an anti-Soviet insurrection in 1941-44 that proved to be of assistance to the German invaders. When the authorities attempted to conscript Chechens into the army in 1942, the police reported "all the male population fled to the montains." Out of 14,000 Chechens liable for conscription, only 4395 were enlisted and of those 2365 deserted. At one point the number of registered deserters and draft evaders reached 13,000 men. 16 percent of Kabardins, 20 percent of Karachis, but only 4 percent of Chechens and Ingush were drafted many of whom deserted. From Nov. 1941 to June 1943, the NKVD Security Regiment in Chechnya kiled 973, captured 1167 bandits, and arrested 1413 insurgents. The regiment suffered 88 fatalities.
Of course the deportation of these groups was unfair in that the Latvians were no subject to similar sanctions. But this still does negate the fact that there was widespread collaboration and rebellion at least among the Crimean Tatars and Chechens.
For further reading on anti-Soviet rebellion and collaboration during 1941-44:
http://muse.jhu.edu/login?uri=/journals/kritika/v006/6.2statiev.html