Jamie,
Your situation appears to be different from our. It appears when you married neither was Roman Catholic.
Start with prayer and lots of prayer. Talk with each other. You said “allow them to be raised non-c”. That is troubling as marriage is a covenant between you both and God. Only God dictates. Quietly live your faith. Ask your wife why she is so opposed. She may not have enough information and is afraid. I developed an acceptence because my wife did not try to “convert” me. We talked about why something was important to us. We both had misconceptions of each others church.
My children are baptised. All were baptised by our mutual friend Fr. Michael. So all are baptised RC. At the time, I saw it as an empty ritual, but honored my wife and her beliefs. She almost died in the 2nd delivery (have 5 kids). I promised the child would be baptised. My oldest three have gone through first communion. None have been confirmed. Why did I “allow” this? Not because my wife had a fit or brow beat me. We respect each other and each others beliefs. May not agree, but we respect.
How do we handle Sundays? Since I am an ordained SBC minister we attend the church I pastor. And yes the church knows and only a few act stupid. My deacons pretty much keep the trouble makers in line. As one told my wife last week “do not let some people upset you…they are just idoits.” BTW I also have Lutheran, UMC etc in the congregation. Not your typical SBC church.

But since we are rural and isolated, we are left alone by the other christians.
On Holy Days, my family may go to the closest catholic church. At times we attend Mass as a family. Last year we particpated in the Stations of the Cross and this Christmas a Midnight Mass, though that one was at an Anglican Church which was a High Church Anglican.
We have monthly communion at our church. Not yet able to get them to weekly. Some times we go to week day Mass at either the RC or Anglican Church.
How do we handle this situation? With the help of God through prayer. We constantly ask for the Holy Spirit to guide us and help us. Also, those that would be negative, yell or try to tell you the truth…as the prophet Micah said…let them prattle on.
It will be difficult when you first convert to the RC. Find spiritual people to pray for you. Our biggest supporters are Frs. Michael, Pete, Ron (Anglican) and Michael (Anglican). It took some time, but God lead us to godly men who pray for us and give godly advice.
I will be praying for you and your wife, that God will lead you both.
Mark