On Celebrating Non-Muslim Holidays
Recurring celebrations (national holidays, birthdays, anniversaries) are not celebrated in Islam.
The Muslims have two (2) celebrations: Eid al-Fitr (which immediately follows Ramadan) and Eid al-Adha (which is when the Hajj is, 2 Islamic months after the first Eid). You can also treat Friday like a celebration as it is a blessed day.
Let me share my evidences for this:
Anas ibn Malik reported: The Messenger of Allah (ﷺ) arrived in Medina during two days in which they were celebrating. The Prophet said, "What are these two days?"
They said, "We would celebrate these two days in the time of ignorance."
The Prophet said, "Verily, Allah has replaced these two days with two better days: Eid al-Adha and Eid al-Fitr."
—Sunan Abu Dawud 1134
Additional Resources
For a more in-depth analysis (and really excellent, at that) see:
[…] Here’s some further insights on this topic. I highly encourage clicking through to the video resource at the bottom. […]