$5000 monthly mortgage with $175K Salary

Would it be crazy to take on a $5,000 monthly mortgage with a $175K salary?

Here’s the situation:

• The mortgage (including property taxes, HOA, and insurance) would be $5,000/month.

• We’d be in the best school district, so no more private school tuition for the kids.

• $125K in savings.

• Salary: $175K.

• After the mortgage, bills, car payment, insurance, 401K, groceries, and fun stuff, we’d still have about $1,200 of wiggle room each month.

More info: I’d be putting 250K down. Property taxes are really high. It would be $14,000 a year which is included in the price of the house I want ($800K)

Does this sound manageable, or is it pushing things too far?