I think what's strange for people is someone from the Deep South adopting 3 Boston teams as their own...but the more the merrier, as they say. And nobody will hold it against you for supporting the Eagles. Now, if you were born and raised up here, people might look at you funny for liking them.
But, (dirty little local secret)....long before the Patriots (Est. 1960) sprung to life, most hardcore football fans rooted for the nearest team around, the New York cough Giants!
And of course, for 2 generations, there were two baseball clubs here, and if you speak to some old timers, they might even admit to being Braves fans when they were young.
You'll have to make the pilgrimage up north and take in some games!