Would I be the bad guy?? Narcissistic ex!

My narcissistic ex constantly treats my kids like they don’t matter. He never makes them a priority, only ever stops in to see them for 10-15 mins every 2-3 months and is always drunk/drinking when he shows up. He doesn’t help me raise them whatsoever and we LIVE IN THE SAME SMALL COUNTRY TOWN!! He works out of town and had weeks off over Christmas, my kids saw him once for 10 minutes he had promised to take them out for the day the next day and he never showed up. He has just started the week back at his out of town job (about a 3 hour drive and stays all week long) and now, all of a sudden he wants to remember my kids, has been texting asking how they are and wanting phone calls. Let me add, the whole time he is absent from my kids lives he is constantly texting me abusive msgs DAILY and does not even mention or ask about the kids. I so badly want to ignore his texts and not let him have phone calls just to make more promises he knows he won’t come through on, but I know that makes me the bad parent. He doesn’t understand how much is kills the kids everytime they hear from him, he thinks it’ll brighten their day when in reality it reminds them their dads still around even though he chooses not to make an effort for them. I’m so torn and had enough of seeing my kids upset every time he pops up again.