I would.
Considering myself a Christian and having participated in door-to-door evangelism, there’s several things to consider in preparation for such an endeavour, as I’m sure the Catholic Church is aware. There’s the usual precautions of going to each dwelling two-by-two, especially for women, and perhaps in a larger group working the same parish neighbourhod, being respectful of whatever circumstance one may find the nonexpectant prospect, and having a bit of a plan not to get too tied down to one visit in a home with someone who, while yet in need of attention, may better be served by a more lengthy follow-up than the initial declaration of the Gospel and Catholic truths.
My own Presbyterian denomination has rather preferred a method of ‘friendship evangelism’, first made popular in the 70’s by Evangelism Explosion from Dr. D. James Kennedy out of Coral Ridge, Florida. And I, for one, think the Mormons have been very successful by their more commercialized attempts through the airways and the gifting of Bibles. The door-to-door visitations as hallmarked of the Jehovah’s Witnesses and the leaving of their colourful Watchtower magazine publications The Watchtower and Awake have also met with considerable ‘success’, though I’m sure the Catholic Church is able to brand their visits in a more culturally acceptable presentation and warm conveyance of divine apparition.
Again, I’m one to think the traditional garb of habit and robe might be used to great effect, though the donning of rosaries and guitars might be equally impressive. From Catholic concerns, I think you’d almost want to appear at the door as an obvious stained-glass window of joy and hope, rather than a Father come to exorcise the evil presence from a home. Still, I’ve personally never been a fan of some of the measures which have nevertheless worked for the Baptists and many a mega-church - a sort of a bait-and-switch philosophy of drawing the masses in by entertainment (‘honey’, if you would) and then clobbering them with an equal dose of perdition (‘vinegar’).
I wouldn’t convert to RC regardless, being rather firm in my Reformed theology, but I’d be most open to a visit from Catholics, especially since I’ve already had a few of them in my home for ecumenical Bible study, and rejoice in any opportunity of “Good News”.