Nevertheless, this is silly.
Humans are the most deadly predators that the planet has ever had. Killing stuff is what we're really really good at. Making weapons is something we're really really good at.
Zombies... their weapons are teeth and fingernails. Their tactics are go straight in and attack regardless of tactical situation.
They wouldn't have a chance.
The thing about zombies is not their tactics or weapons but their numbers and drive.
A human needs to sleep,
A human needs food and clean water,
A human needs ammunition,
A human is vulnerable to infection,
If you have one infected or even five infected, they can be dealt with easily using modern gear. However once their number reaches a critical mass, humans are instantly on the back foot. It doesn't matter if a survivor kills 20 zombies when there is 100 of them. Max Brooks' World War Z book does a good job of explaining how they reach these kind of numbers, mainly through panic, ignorance and occasionally greed. However compared to humans, zombies have several key strengths.
The zombie does not need rest,
The zombie does not feel fear,
The zombie will not despair,
The zombie will not give up,
The zombie can still operate with debilitating injuries,
Humanity's only reprieve is the zombie is not real :)