Quakerism appeals due to its simplicity and meditative spirituality, yes? Well, you can have that in Catholicism, as well as the Eucharist and the fullness of what God has provided for us. The Church is rich in a variety of spiritualities. It sounds to me you’d be a very good fit for contemplative spirituality found in the Carmelites.
I’m afraid you may be overly scrupulous about certain things, such as statues, and simply don’t understand why Catholics use them (note I didn’t say adore/worship them). You need to read the Catechism about such things–such as the Communion of Saints. Unfortunately, RCIA cannot cover everything. So, we need to learn as we go along, knowing that we have put our trust in Christ by putting our trust in the Church he established for our good.
As to the Church taking too strong a stand, which issues do you think she is doing that with and why? You need not answer us. Those are the things you need to work through for yourself, but we would be willing to help you with them. The modern world thinks all values are the same and everyone’s ideas equal, but that’s not the case. Some things are true and some aren’t. Some things can be changed and some things can’t be–for good reason. Some things are best for us and others just aren’t. God knows the difference and wants us to know it too.
It’d help you a great deal to learn why the Church teaches some things cannot be changed. The Church cannot change her teachings because they are not “her” teachings, they are Christ’s teachings which the Church is obligated to present to the world. She can only remain faithful and spread Christ’s teachings to us, minister to us, and administer Christ’s sacraments. The rest is up to us.