Our savings account could more than cover it, but it would destroy our just in case fund. My wife insists we keep almost a year of her salary in reserve. She's right, but it's hard to swallow paying almost a grand in just interest each month.
I'm surprised that no one challenged you on this yet.
Lets assume a few things.
1) You pay $1000 in interest in a month.
2) You have a 4% interest rate.
Thus, your mortgage value is $1000 / 0.04 * 12 = $300,000.
So, claimed that
A) Your savings account has over a $300,000 sitting around at near 0% interest,
B) That you think you need a $300,000 just-in-case fund,
C) That your wife makes almost $300,000 a year.
and with all that,
D) $1000 is hard to swallow.
Something doesn't add up. If you are that high of a roller (which is possible), then you don't need $300,000 sitting in savings account. You need to invest it and set up a just-in-case loan with your personal banker.
It isn't that you need to save 1 year of
salary, it is that you should have a goal to save ~6 months of
spending. If $1000 is truly a problem amount for you, then your spending probably isn't that high. Your just-in-case amount is probably 10x to 100x more than you'll ever need. Almost all emergencies (except for lost jobs) are $3000 or less (new engine, new furnace, cheap new roof, paying your medical deductible, etc). You don't need $300,000 for that. And if you do, then you really need proper insurance, not $300,000 sitting around. Job loss insurance surely costs less than the ~$25,000/year you are losing by not investing that $300,000.
Or you goofed on your last line.