Not Understanding Withholding Rates

Something has been sort of bugging me, and today I ran some numbers to verify that I should be concerned. I noticed after I changed my marriage status from SINGLE to MARRIED after getting married last year, that my take home pay increased.
I didn’t add any allowances from what I’d filed with when I was single. Nothing else changed, so I’m confused as to why the withholding rates suddenly change. I verified today that in years past, they took out about 18-20% in federal withholding. I’m making the same as last year, yet it’s only around 14%. Yet, somehow I have a hard time believing that I’m going to pay less taxes.
My wife’s withholding is even worse. She makes less, and for last year, they took out about 15%. Now, they’re barely taking out 5%. What the heck???????
This shouldn’t affect us too much, because when I noticed the increase, I started simply taking the ‘extra’ amount in my paycheck and putting it into savings. I figured I’d just combine that with whatever return we got to get our ‘total ‘return, and it wouldn’t end up too much differently than what we got as a total refund last year.
Still, this seems rather dangerous to me, because it seems to me that a couple that didn’t save that ‘extra’ money might spend it and end up owing money to the government come next April 15th.
Am I missing something totally obvious here?

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