Lucerne- stabilizers (Carob Bean and/or Xanthan and/or Guar Gums), Potato starch-modified, natural flavor, Vitamin A Palmitate
Philadephia- Stabilizers (Xanthan and/or Carob Bean and/or Guar Gums), Sorbic Acid as a Preservative, Vitamin A Palmitate
Those are the ingredients they both list that I don't think actually belong in cream cheese (I don't make cheese, but they look suspect.) and both of those do include an apparently variable assortment of stablizers.
This site https://www.toxinless.com/cream-cheese
has a pretty complete list of cream cheeses with ingredients. In addition to those which have no stablizers there's a forth stablizer used instead of the ones above (Locust bean gum) It might be worth trying one of those to see if you still have a reaction.