Maybe not Halo specifically. (I think Halo is alright though - by far not in my top 10 anymore.) Most FPSs coming out now offer squad based play. Meaning organized tactics on the battlefield will win out over everyone just running around shooting anything that moves.
Also, it depends on what you mean by strategy games. RTS games offer gameplay that mirrors shooters. The best players are constantly clicking something with objectives in mind. And in order to be able to stay on top, you have to be pretty accurate with your clicks. (Accurately clicking the minimap for faster scrolling, the right buildings once you get there, the right tech, unit, etc. in those menus, while also maintaining constant watch over up to 10 unit groups, and all your little workers as well to make sure they aren't idling.)
I am curious as to why you think people interested in strategy would have no interest in battlefield (tactical) warfare games. I suppose it has to do with an elitist mindset out there that FPSs are for people who don't like games that make them think. But to people that think that I would like to see them play a FPS from the Battlefield series, the upcoming Tiberium FPS from Command and Conquer (shameless promotion on my behalf

), or one of the many other FPS already out that offer squad based gameplay.
Sometimes I am the worst guy on the squad in Battlefield 2142 (Titan matches

)
Sometimes I am an in the top 10 players of all squads on my side combined (Anything but Titan

)
Anyways people can turn theeir noses at first person shooters all they want. But I can play probably more than 10 matches in the time it takes someone to play 1 game of Civ on the fastest settings. And 1 match is still just as challenging and almost always packaged with more frustrations and exciting moments than any single game of any strategy game I have ever played. My favorite genre of game is strategy. My second favorite spot is tied between RPGs and FPSs. (You can imagine my joy that these three genres are beginning to team up more often.)