The FSSP pastor hammers on the Pope just about every Sunday. He's very black and white about doctrine. He told me he despises ambiguity and he has to keep the flock from succuмbing to modernist creep. So now we go there most of the time.
I did notice more modernism at the FSSP parish in San Diego, but not in the clergy, and not at their other locations that I've visited. It dawned on me a short time ago that if I was blindfolded and brought to an FSSP Mass or devotion and told it was SSPX, I wouldn't know the difference.
I think you might need to remain blind folded otherwise the way the congregation dresses i.e. many with no head coverings, blue jeans, etc. might give it away that you're not at a SSPX Mass and are a part of the inherent indifferentism that goes along with the NOFSSP.
Here's a NOFSSP Pontifical High Mass:
First thing that stands out is they have a table where no table belongs. There are other things that could be pointed out, but for me, that table is something that has never been a part of the TLM and has always been the NO calling card, personally, I cannot accept it. I don't know what it would take to get me to go there.
Also, try to remember to always preface "FSSP" with "NO" (NOFSSP) to keep the whole thing in proper perspective because that's what the FSSP is, it is Novus Ordo even if it's not apparent because their Mass isn't.