Racial stats don't make that much of a difference. Play the race and the classes you want to play. Do what you enjoy. I don't play Lala because they have more INT for my BLM, I play Lala because I like the race.

If you're truly value those 6 str SO much.. then switch. One is clearly more important to you than the other.

Frankly I don't think RPers are going to want to switch their guardians because of the stat ties either.