Nah, it fits in with other sports viewing very well.
Think first of hockey - like hockey, the game is pretty much played in 3 zones, and whoever controls the middle zone tends to control the game. In the offensive end, you keep moving the puck/ball to try to find a better shot, and the defense needs to clear the puck/ball out of their end to relieve pressure on the goal (icing is like having the goalie boot it 70 yards down field to risk losing possession).
OK, now think basketball. Defense in soccer is a lot like the SU zone, except bigger. Looking at a team's defense, you want to see two banks of defenders, not too far apart and not too close together. They need to read and react to the offense as a group. If you create a turnover, you want to try to get out and run the opposite way, creating fast break opportunities.
Looking at the offense, you have some elements of American Football - the time of possession is important because the team chasing the ball tires out quicker than the offense (same as football; try to keep your defense off the field). It's a game of field position. If you control the field position, you can dictate the game to your opponent.
Even though scoring is more at the pace of a baseball or hockey game, there is usually a build-up to a goal. A team keeps the defense bottled up in their own end. The offense get a few corner kicks or throw-ins in a row and the defense just can't seem to clear the ball, or hold on to it to relieve the offensive pressure. As the pressure builds, the offense gets closer and closer to a quality shot (like a hockey power play). An offense might switch sides of play to try to create a mismatch, overload one side of a zone, or just make the defense shuffle and reset, to unsettle them if the offense finds itself without a way through on that side of the field.
The strategy behind the sport is not all that different from the other sports you already watch. You just have to learn to pick up on the trends and the dynamics of play. Lots of stuff can be happening, even if the goals are not flowing. You can usually tell who is going to score, and you can usually see it coming, from the build up in play.