Source: www.washingtonpost.com
As for religion in Ukraine, the most popular religion in the country is Eastern Orthodox, a sect of Christianity. And while this is by far the most dominant religion in the area there are sections of Ukraine that practice Islam, Judaism, and even Buddhism. From what I was able to find, while there are religions with differing ideas, there really aren't any examples of religious conflict. Below is an image of an Orthodox church in Ukraine.
Source: www.about-ukraine.net
Finally, while their isn't really any type of religious conflict recently there has been a lot of political turmoil. Back in 2013, Ukrainians wanted to have a stronger relationship with the European Union but the Ukrainian President, Viktor Yanukovych, refused so sign any sort of agreement because he wished to have strong relationship with Russia instead. This lead to almost a year long conflict with Ukrainians troops and Pro-Russian rebels, leading to the tragic deaths of over 400 people. The video link below gives a brief history of Ukraine and Russia from before World War One to the year 2014. And though the video only covers up to 2014 there is still conflict between the Ukrainian loyalists and Pro-Russian rebels. Please click the link.
Source: https://www.youtube.com/watch?v=A2nklduvThs
