As I said in my original post, my wife makes over $100,000. I am getting social security. So between the two of us filing jointly we make over $130,000/year. This job adds to that, so the thought that I am not making enough per paycheck to have taxes deducted won't fly come tax time next April. I WILL owe, as my gross income is NOT $210 per week with all this taken into consideration.
YOUR employer has no information about your spouse's income or about your tax situation outside of your employment with that employer. From your employer's perspective, you apparently aren't making enough money to require tax withholding. It is precisely for situations such as yours that you can designate to have additional money taken out, and you apparently have done that. If the amount you so designated is not, in your opinion, sufficient, then increase the number. It sure as heck is not your employer's responsibility to figure out how much a part-time, minimum wage employee should have deducted from his/her paycheck just because his/her spouse has a six-figure income.