Tang writes, "I am now eligible to apply for naturalization but recently I have been offered a dream job in Canada. If I file N400 and keep coming back from Canada for biometrics, interview, and oath, while maintaining my apartment here and not changing anything else with regards to my bank accounts, etc. do you think I can manage this or should I wait for the naturalization process to complete first (in which case I might lose my dream job)?
My recommendation would be to leave only after you are naturalized in the United States in case you value US citizenship. You see, during your background check, it is likely that your entry into Canada on a work permit will show up (US and Canada are known to share a lot of data on border crossings, particularly by road, and when you enter from Canada, the US Border agent may ask you dozens of questions on what you were doing in Canada and you will have to disclose your employment there) and that will immediately raise a red flag. Additionally, during your interview you will need to disclose (under oath) that you are currently employed in Canada. In other words, not only can your naturalization application be denied, your green card may also be revoked. Just maintaining a residence in the US will not matter if you are working and living in Canada because under the eyes of the law, you have already abandoned your ties to the United States by taking up employment in another country.
If your dream job is more important to you and you would rather live long term in Canada, then, it is best not to waste time and money on naturalizing in America. However, as I said above, if you complete the naturalization process the right way, you will then be free to work anywhere else in the world. Most aliens would get their US citizenship first because if you miss out on that one, you will need to start from scratch in Canada while you are almost at the end of the process in the US. A so-called dream job may actually turn out to be a nightmare (we all know how disappointed we can be in a job after working for a few weeks) or you might be laid off after a few months, but if you become an American, you can always pursue other dream jobs later on in life not just in America but anywhere else you can find work.