Depending on how things shake out, we're looking at a totally different US take on Russian relations. Given how Russia has been involved in the damage and the deaths in Aleppo and given the financial ties to what looks to be the highest levels of an incoming US regime, I don't see how that could be a positive for us.
Russia has been playing around in the Middle East for decades, ever since it began using minor wars in the region to wage proxy war against the U.S. However, this is no longer how Russia is utilizing its relationships in the MENA region; instead, Russia and the U.S. appear to be more on the same page with the direction of the region due to terrorism. While they are not friendly, they are also not actively looking to subvert the other.
The Middle East is far from the West. The Middle East is only a threat to the West as far as terrorism is concerned. Other than that, the Middle East doesn't have the technology to be any real threat to the West. Russia is only posing problems for itself and the people of the Middle East.
While Russia may seem a formidable presence to some countries, the general consensus among many, is that it is not much of a threat to the West.
The West has long proven it's strength amidst threats from many countries. They have always stood their ground ready to face any challenges head on.