No they don't.
Let's say a "law" was passed that made glued-on fake beards illegal. You have a beard, but for some reason someone thinks it might look fake. How would it feel to be harassed constantly by enforcers trying to score by kidnapping you for having a fake beard? Even if they had to let you go after pulling at your whiskers- wouldn't you feel like a second-class human? What if you resisted? Or the lying cop claimed you resisted after he killed you for not bowing low enough, quickly enough?
Statists might claim you could just shave it off to avoid the hassle. Sure, but what if you had some terrible scarring you wished to cover up, and since you liked the beard anyway, it was a natural solution?
Statists will say, as they always do, that it isn't beards they have a problem with, but "illegal" beards. What's the difference if it results in your constantly being targeted by enforcers?
Do NOT enforce immigration "laws" on my behalf! I do NOT consent!