My Bible study group covered this episode in the Gospel of Mark just recently. We’re using the Ignatius Catholic Study Bible guide by Scott Hahn and Curtis Mitch. Anyhow…the authors’ commentary on the Pharisees was very interesting. They hold that the continual conflicts between Jesus and the Pharisees were not really about disagreements over scripture, but were about about a sharp difference in mission. The Pharisees really wanted to be rid of Roman rule and felt that the best way to obey God and gain his assistance in this aim was to separate themselves as much as possible from the Gentiles by strictly emphasizing points of Jewish identity (the sabbath, ritual purity, etc.) Jesus, of course was trying to extend God’s covenant to the Gentiles. In doing this he often had to remind them that the law was designed to serve man and not the other way around.
In my evangelical days it was easy to stray into a “rules are silly, we should throw them away” interpretation of this passage, so I really appreciated this Catholic perspective which incorporates the historical background.
After all that, now to try and answer the OP’s question

I’ve been growing to love the traditional Mass more and more. I wish that my fellow Catholics who are unfamiliar with it could experience and appreciate it. Speaking personally of my own conscience, I’m aware that my motivation for attending the EF Mass should not include the desire to “escape” the OF but should include the desire to cultivate a personal understanding of the truth and beauty of the Holy Sacrifice of the Mass which can then enrich the whole of the Church.
My peers are of the generation who just don’t know what they’re missing because they’ve been told the old mass was very broken and needed fixing. Starting a dialogue by criticizing the OF will make a person feel defensive. Staring with a description of your latest transcendently beautiful experience at EF Mass (told with infectious enthusiasm) will open doors or at least give thoughtful pause to skeptics.