No one can predict a judge's decision, it depends on your state's legal precedent, the case you and your ex make, and the mood of the judge at the time.
Typically, though, if a father wants 50/50 time, the only reasons to deny them would be - if it were logistically impossible, or if the mother could prove it were not in the best interests of the child. 50/50 time can be over the course of year, it doesn't have to be weekly or monthly.
My daughter has 50/50 time with her dad. We divorced when she was 41/2 and she is 11 now. We did not battle about our co-parenting arrangement (or anything else about our divorce agreement), we both agreed that it was best she spend equal time with each of us. We live 20 mins apart. She goes to school closer to his house. I drive her to school when she is with me. We switch off every 2 or 3 days. We are able to talk and agree on things (mostly because I learned to communicate in an effective way, let a lot of things just go, and work hard at keeping a good relationship).
If I were a judge (which of course I'm not) I'd be most interested in what you both were doing to relieve your daughter's anxiety about being with her dad. I would hold off on making any changes in her life until that could be resolved.